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Finding the Fourth Proportional to 514,588.26, 710,131.80 and 313,384.26

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Solution

The fourth proportional to 514,588.26, 710,131.80 and 313,384.26 is: 432,470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,588.26 : 710,131.80 = 313,384.26 : x
  2. Step 2: Convert to fraction form
    514,588.26/710,131.80 = 313,384.26/x
  3. Step 3: Cross multiply
    514,588.26x = 710,131.80 × 313,384.26
  4. Step 4: Simplify right side
    514,588.26x = 222,544,128,645.47
  5. Step 5: Solve for x
    x = 222,544,128,645.47/514,588.26
  6. Step 6: Final answer
    x = 432,470.28

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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.