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Finding the Fourth Proportional to 474,537.97, 654,862.46 and 259,678.05

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Solution

The fourth proportional to 474,537.97, 654,862.46 and 259,678.05 is: 358,355.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,537.97 : 654,862.46 = 259,678.05 : x
  2. Step 2: Convert to fraction form
    474,537.97/654,862.46 = 259,678.05/x
  3. Step 3: Cross multiply
    474,537.97x = 654,862.46 × 259,678.05
  4. Step 4: Simplify right side
    474,537.97x = 170,053,402,876.88
  5. Step 5: Solve for x
    x = 170,053,402,876.88/474,537.97
  6. Step 6: Final answer
    x = 358,355.73

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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.