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Finding the Fourth Proportional to 527,758.56, 791,837.10 and 317,544.12

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Solution

The fourth proportional to 527,758.56, 791,837.10 and 317,544.12 is: 476,436.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,758.56 : 791,837.10 = 317,544.12 : x
  2. Step 2: Convert to fraction form
    527,758.56/791,837.10 = 317,544.12/x
  3. Step 3: Cross multiply
    527,758.56x = 791,837.10 × 317,544.12
  4. Step 4: Simplify right side
    527,758.56x = 251,443,215,102.85
  5. Step 5: Solve for x
    x = 251,443,215,102.85/527,758.56
  6. Step 6: Final answer
    x = 476,436.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.