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Finding the Fourth Proportional to 514,112.58, 709,374.54 and 323,015.25

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Solution

The fourth proportional to 514,112.58, 709,374.54 and 323,015.25 is: 445,697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,112.58 : 709,374.54 = 323,015.25 : x
  2. Step 2: Convert to fraction form
    514,112.58/709,374.54 = 323,015.25/x
  3. Step 3: Cross multiply
    514,112.58x = 709,374.54 × 323,015.25
  4. Step 4: Simplify right side
    514,112.58x = 229,138,793,574.20
  5. Step 5: Solve for x
    x = 229,138,793,574.20/514,112.58
  6. Step 6: Final answer
    x = 445,697.70

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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.