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Finding the Fourth Proportional to 257,540.10, 386,310.15 and 243,024.90

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Solution

The fourth proportional to 257,540.10, 386,310.15 and 243,024.90 is: 364,537.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,540.10 : 386,310.15 = 243,024.90 : x
  2. Step 2: Convert to fraction form
    257,540.10/386,310.15 = 243,024.90/x
  3. Step 3: Cross multiply
    257,540.10x = 386,310.15 × 243,024.90
  4. Step 4: Simplify right side
    257,540.10x = 93,882,985,572.74
  5. Step 5: Solve for x
    x = 93,882,985,572.74/257,540.10
  6. Step 6: Final answer
    x = 364,537.35

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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.