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Finding the Fourth Proportional to 497,456.10, 746,184.15 and 165,032.10

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Solution

The fourth proportional to 497,456.10, 746,184.15 and 165,032.10 is: 247,548.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,456.10 : 746,184.15 = 165,032.10 : x
  2. Step 2: Convert to fraction form
    497,456.10/746,184.15 = 165,032.10/x
  3. Step 3: Cross multiply
    497,456.10x = 746,184.15 × 165,032.10
  4. Step 4: Simplify right side
    497,456.10x = 123,144,337,261.22
  5. Step 5: Solve for x
    x = 123,144,337,261.22/497,456.10
  6. Step 6: Final answer
    x = 247,548.15

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