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Finding the Fourth Proportional to 318,753.90, 440,328.15 and 301,957.74

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Solution

The fourth proportional to 318,753.90, 440,328.15 and 301,957.74 is: 417,125.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,753.90 : 440,328.15 = 301,957.74 : x
  2. Step 2: Convert to fraction form
    318,753.90/440,328.15 = 301,957.74/x
  3. Step 3: Cross multiply
    318,753.90x = 440,328.15 × 301,957.74
  4. Step 4: Simplify right side
    318,753.90x = 132,960,493,032.38
  5. Step 5: Solve for x
    x = 132,960,493,032.38/318,753.90
  6. Step 6: Final answer
    x = 417,125.85

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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.