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Finding the Fourth Proportional to 687,180.52, 948,277.10 and 381,253.64

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Solution

The fourth proportional to 687,180.52, 948,277.10 and 381,253.64 is: 526,112.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,180.52 : 948,277.10 = 381,253.64 : x
  2. Step 2: Convert to fraction form
    687,180.52/948,277.10 = 381,253.64/x
  3. Step 3: Cross multiply
    687,180.52x = 948,277.10 × 381,253.64
  4. Step 4: Simplify right side
    687,180.52x = 361,534,094,197.38
  5. Step 5: Solve for x
    x = 361,534,094,197.38/687,180.52
  6. Step 6: Final answer
    x = 526,112.26

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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.