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Finding the Fourth Proportional to 417,382.91, 625,651.75 and 164,841.46

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Solution

The fourth proportional to 417,382.91, 625,651.75 and 164,841.46 is: 247,095.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,382.91 : 625,651.75 = 164,841.46 : x
  2. Step 2: Convert to fraction form
    417,382.91/625,651.75 = 164,841.46/x
  3. Step 3: Cross multiply
    417,382.91x = 625,651.75 × 164,841.46
  4. Step 4: Simplify right side
    417,382.91x = 103,133,349,155.54
  5. Step 5: Solve for x
    x = 103,133,349,155.54/417,382.91
  6. Step 6: Final answer
    x = 247,095.29

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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.