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Finding the Fourth Proportional to 469,554.17, 647,980.16 and 254,691.14

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Solution

The fourth proportional to 469,554.17, 647,980.16 and 254,691.14 is: 351,471.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,554.17 : 647,980.16 = 254,691.14 : x
  2. Step 2: Convert to fraction form
    469,554.17/647,980.16 = 254,691.14/x
  3. Step 3: Cross multiply
    469,554.17x = 647,980.16 × 254,691.14
  4. Step 4: Simplify right side
    469,554.17x = 165,034,801,134.43
  5. Step 5: Solve for x
    x = 165,034,801,134.43/469,554.17
  6. Step 6: Final answer
    x = 351,471.28

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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.