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Finding the Fourth Proportional to 687,044.34, 948,126.90 and 381,140.73

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Solution

The fourth proportional to 687,044.34, 948,126.90 and 381,140.73 is: 525,977.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,044.34 : 948,126.90 = 381,140.73 : x
  2. Step 2: Convert to fraction form
    687,044.34/948,126.90 = 381,140.73/x
  3. Step 3: Cross multiply
    687,044.34x = 948,126.90 × 381,140.73
  4. Step 4: Simplify right side
    687,044.34x = 361,369,778,798.64
  5. Step 5: Solve for x
    x = 361,369,778,798.64/687,044.34
  6. Step 6: Final answer
    x = 525,977.38

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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.