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Finding the Fourth Proportional to 471,176.80, 706,765.20 and 377,864.80

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Solution

The fourth proportional to 471,176.80, 706,765.20 and 377,864.80 is: 566,797.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,176.80 : 706,765.20 = 377,864.80 : x
  2. Step 2: Convert to fraction form
    471,176.80/706,765.20 = 377,864.80/x
  3. Step 3: Cross multiply
    471,176.80x = 706,765.20 × 377,864.80
  4. Step 4: Simplify right side
    471,176.80x = 267,061,690,944.96
  5. Step 5: Solve for x
    x = 267,061,690,944.96/471,176.80
  6. Step 6: Final answer
    x = 566,797.20

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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.