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Finding the Fourth Proportional to 706,645.62, 975,082.59 and 477,700.92

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Solution

The fourth proportional to 706,645.62, 975,082.59 and 477,700.92 is: 659,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,645.62 : 975,082.59 = 477,700.92 : x
  2. Step 2: Convert to fraction form
    706,645.62/975,082.59 = 477,700.92/x
  3. Step 3: Cross multiply
    706,645.62x = 975,082.59 × 477,700.92
  4. Step 4: Simplify right side
    706,645.62x = 465,797,850,318.98
  5. Step 5: Solve for x
    x = 465,797,850,318.98/706,645.62
  6. Step 6: Final answer
    x = 659,167.53

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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.