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Finding the Fourth Proportional to 364,046.10, 546,069.15 and 257,757.90

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Solution

The fourth proportional to 364,046.10, 546,069.15 and 257,757.90 is: 386,636.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,046.10 : 546,069.15 = 257,757.90 : x
  2. Step 2: Convert to fraction form
    364,046.10/546,069.15 = 257,757.90/x
  3. Step 3: Cross multiply
    364,046.10x = 546,069.15 × 257,757.90
  4. Step 4: Simplify right side
    364,046.10x = 140,753,637,358.79
  5. Step 5: Solve for x
    x = 140,753,637,358.79/364,046.10
  6. Step 6: Final answer
    x = 386,636.85

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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.