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Finding the Fourth Proportional to 687,173.25, 948,267.10 and 381,246.38

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Solution

The fourth proportional to 687,173.25, 948,267.10 and 381,246.38 is: 526,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,173.25 : 948,267.10 = 381,246.38 : x
  2. Step 2: Convert to fraction form
    687,173.25/948,267.10 = 381,246.38/x
  3. Step 3: Cross multiply
    687,173.25x = 948,267.10 × 381,246.38
  4. Step 4: Simplify right side
    687,173.25x = 361,523,398,439.32
  5. Step 5: Solve for x
    x = 361,523,398,439.32/687,173.25
  6. Step 6: Final answer
    x = 526,102.26

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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.