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Finding the Fourth Proportional to 589,372.32, 884,064.78 and 471,791.10

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Solution

The fourth proportional to 589,372.32, 884,064.78 and 471,791.10 is: 707,691.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,372.32 : 884,064.78 = 471,791.10 : x
  2. Step 2: Convert to fraction form
    589,372.32/884,064.78 = 471,791.10/x
  3. Step 3: Cross multiply
    589,372.32x = 884,064.78 × 471,791.10
  4. Step 4: Simplify right side
    589,372.32x = 417,093,895,027.46
  5. Step 5: Solve for x
    x = 417,093,895,027.46/589,372.32
  6. Step 6: Final answer
    x = 707,691.69

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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.