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Finding the Fourth Proportional to 458,410.52, 688,068.33 and 344,160.96

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Solution

The fourth proportional to 458,410.52, 688,068.33 and 344,160.96 is: 516,581.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,410.52 : 688,068.33 = 344,160.96 : x
  2. Step 2: Convert to fraction form
    458,410.52/688,068.33 = 344,160.96/x
  3. Step 3: Cross multiply
    458,410.52x = 688,068.33 × 344,160.96
  4. Step 4: Simplify right side
    458,410.52x = 236,806,259,149.09
  5. Step 5: Solve for x
    x = 236,806,259,149.09/458,410.52
  6. Step 6: Final answer
    x = 516,581.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.