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Finding the Fourth Proportional to 598,720.68, 826,242.30 and 353,713.50

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Solution

The fourth proportional to 598,720.68, 826,242.30 and 353,713.50 is: 488,129.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,720.68 : 826,242.30 = 353,713.50 : x
  2. Step 2: Convert to fraction form
    598,720.68/826,242.30 = 353,713.50/x
  3. Step 3: Cross multiply
    598,720.68x = 826,242.30 × 353,713.50
  4. Step 4: Simplify right side
    598,720.68x = 292,253,055,781.05
  5. Step 5: Solve for x
    x = 292,253,055,781.05/598,720.68
  6. Step 6: Final answer
    x = 488,129.22

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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.