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Finding the Fourth Proportional to 513,061.33, 708,224.43 and 459,253.21

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Solution

The fourth proportional to 513,061.33, 708,224.43 and 459,253.21 is: 633,948.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,061.33 : 708,224.43 = 459,253.21 : x
  2. Step 2: Convert to fraction form
    513,061.33/708,224.43 = 459,253.21/x
  3. Step 3: Cross multiply
    513,061.33x = 708,224.43 × 459,253.21
  4. Step 4: Simplify right side
    513,061.33x = 325,254,342,877.92
  5. Step 5: Solve for x
    x = 325,254,342,877.92/513,061.33
  6. Step 6: Final answer
    x = 633,948.27

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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.