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Finding the Fourth Proportional to 687,475.11, 948,701.38 and 381,533.72

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Solution

The fourth proportional to 687,475.11, 948,701.38 and 381,533.72 is: 526,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,475.11 : 948,701.38 = 381,533.72 : x
  2. Step 2: Convert to fraction form
    687,475.11/948,701.38 = 381,533.72/x
  3. Step 3: Cross multiply
    687,475.11x = 948,701.38 × 381,533.72
  4. Step 4: Simplify right side
    687,475.11x = 361,961,564,772.87
  5. Step 5: Solve for x
    x = 361,961,564,772.87/687,475.11
  6. Step 6: Final answer
    x = 526,508.61

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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.