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Finding the Fourth Proportional to 514,574.25, 710,112.47 and 313,370.25

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Solution

The fourth proportional to 514,574.25, 710,112.47 and 313,370.25 is: 432,450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,574.25 : 710,112.47 = 313,370.25 : x
  2. Step 2: Convert to fraction form
    514,574.25/710,112.47 = 313,370.25/x
  3. Step 3: Cross multiply
    514,574.25x = 710,112.47 × 313,370.25
  4. Step 4: Simplify right side
    514,574.25x = 222,528,120,685.17
  5. Step 5: Solve for x
    x = 222,528,120,685.17/514,574.25
  6. Step 6: Final answer
    x = 432,450.95

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.