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Finding the Fourth Proportional to 655,843.30, 983,765.13 and 506,301.88

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Solution

The fourth proportional to 655,843.30, 983,765.13 and 506,301.88 is: 759,452.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,843.30 : 983,765.13 = 506,301.88 : x
  2. Step 2: Convert to fraction form
    655,843.30/983,765.13 = 506,301.88/x
  3. Step 3: Cross multiply
    655,843.30x = 983,765.13 × 506,301.88
  4. Step 4: Simplify right side
    655,843.30x = 498,082,134,797.44
  5. Step 5: Solve for x
    x = 498,082,134,797.44/655,843.30
  6. Step 6: Final answer
    x = 759,452.96

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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.