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Finding the Fourth Proportional to 475,658.64, 656,027.73 and 418,175.82

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Solution

The fourth proportional to 475,658.64, 656,027.73 and 418,175.82 is: 576,747.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,658.64 : 656,027.73 = 418,175.82 : x
  2. Step 2: Convert to fraction form
    475,658.64/656,027.73 = 418,175.82/x
  3. Step 3: Cross multiply
    475,658.64x = 656,027.73 × 418,175.82
  4. Step 4: Simplify right side
    475,658.64x = 274,334,933,935.49
  5. Step 5: Solve for x
    x = 274,334,933,935.49/475,658.64
  6. Step 6: Final answer
    x = 576,747.51

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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.