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Finding the Fourth Proportional to 416,878.71, 625,262.71 and 117,382.65

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Solution

The fourth proportional to 416,878.71, 625,262.71 and 117,382.65 is: 176,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,878.71 : 625,262.71 = 117,382.65 : x
  2. Step 2: Convert to fraction form
    416,878.71/625,262.71 = 117,382.65/x
  3. Step 3: Cross multiply
    416,878.71x = 625,262.71 × 117,382.65
  4. Step 4: Simplify right side
    416,878.71x = 73,394,993,845.98
  5. Step 5: Solve for x
    x = 73,394,993,845.98/416,878.71
  6. Step 6: Final answer
    x = 176,058.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.