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Finding the Fourth Proportional to 497,401.92, 686,390.22 and 282,513.78

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Solution

The fourth proportional to 497,401.92, 686,390.22 and 282,513.78 is: 389,855.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,401.92 : 686,390.22 = 282,513.78 : x
  2. Step 2: Convert to fraction form
    497,401.92/686,390.22 = 282,513.78/x
  3. Step 3: Cross multiply
    497,401.92x = 686,390.22 × 282,513.78
  4. Step 4: Simplify right side
    497,401.92x = 193,914,695,607.23
  5. Step 5: Solve for x
    x = 193,914,695,607.23/497,401.92
  6. Step 6: Final answer
    x = 389,855.14

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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.