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Finding the Fourth Proportional to 524,859.22, 724,654.32 and 403,786.90

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Solution

The fourth proportional to 524,859.22, 724,654.32 and 403,786.90 is: 557,494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,859.22 : 724,654.32 = 403,786.90 : x
  2. Step 2: Convert to fraction form
    524,859.22/724,654.32 = 403,786.90/x
  3. Step 3: Cross multiply
    524,859.22x = 724,654.32 × 403,786.90
  4. Step 4: Simplify right side
    524,859.22x = 292,605,921,444.41
  5. Step 5: Solve for x
    x = 292,605,921,444.41/524,859.22
  6. Step 6: Final answer
    x = 557,494.11

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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.