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Finding the Fourth Proportional to 482,049.87, 663,714.36 and 409,301.13

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Solution

The fourth proportional to 482,049.87, 663,714.36 and 409,301.13 is: 563,549.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,049.87 : 663,714.36 = 409,301.13 : x
  2. Step 2: Convert to fraction form
    482,049.87/663,714.36 = 409,301.13/x
  3. Step 3: Cross multiply
    482,049.87x = 663,714.36 × 409,301.13
  4. Step 4: Simplify right side
    482,049.87x = 271,659,040,034.16
  5. Step 5: Solve for x
    x = 271,659,040,034.16/482,049.87
  6. Step 6: Final answer
    x = 563,549.66

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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.