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Finding the Fourth Proportional to 614,364.97, 847,829.27 and 338,732.71

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Solution

The fourth proportional to 614,364.97, 847,829.27 and 338,732.71 is: 467,454.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,364.97 : 847,829.27 = 338,732.71 : x
  2. Step 2: Convert to fraction form
    614,364.97/847,829.27 = 338,732.71/x
  3. Step 3: Cross multiply
    614,364.97x = 847,829.27 × 338,732.71
  4. Step 4: Simplify right side
    614,364.97x = 287,187,507,832.54
  5. Step 5: Solve for x
    x = 287,187,507,832.54/614,364.97
  6. Step 6: Final answer
    x = 467,454.24

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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.