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Finding the Fourth Proportional to 257,792.10, 386,538.28 and 172,500.42

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Solution

The fourth proportional to 257,792.10, 386,538.28 and 172,500.42 is: 258,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,792.10 : 386,538.28 = 172,500.42 : x
  2. Step 2: Convert to fraction form
    257,792.10/386,538.28 = 172,500.42/x
  3. Step 3: Cross multiply
    257,792.10x = 386,538.28 × 172,500.42
  4. Step 4: Simplify right side
    257,792.10x = 66,678,015,214.83
  5. Step 5: Solve for x
    x = 66,678,015,214.83/257,792.10
  6. Step 6: Final answer
    x = 258,650.34

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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.