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Finding the Fourth Proportional to 687,480.17, 948,708.36 and 381,538.78

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Solution

The fourth proportional to 687,480.17, 948,708.36 and 381,538.78 is: 526,515.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,480.17 : 948,708.36 = 381,538.78 : x
  2. Step 2: Convert to fraction form
    687,480.17/948,708.36 = 381,538.78/x
  3. Step 3: Cross multiply
    687,480.17x = 948,708.36 × 381,538.78
  4. Step 4: Simplify right side
    687,480.17x = 361,969,030,250.20
  5. Step 5: Solve for x
    x = 361,969,030,250.20/687,480.17
  6. Step 6: Final answer
    x = 526,515.59

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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.