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Finding the Fourth Proportional to 462,959.34, 638,742.17 and 301,755.57

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Solution

The fourth proportional to 462,959.34, 638,742.17 and 301,755.57 is: 416,330.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,959.34 : 638,742.17 = 301,755.57 : x
  2. Step 2: Convert to fraction form
    462,959.34/638,742.17 = 301,755.57/x
  3. Step 3: Cross multiply
    462,959.34x = 638,742.17 × 301,755.57
  4. Step 4: Simplify right side
    462,959.34x = 192,744,006,082.61
  5. Step 5: Solve for x
    x = 192,744,006,082.61/462,959.34
  6. Step 6: Final answer
    x = 416,330.31

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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.