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Finding the Fourth Proportional to 414,478.62, 621,717.90 and 114,959.19

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Solution

The fourth proportional to 414,478.62, 621,717.90 and 114,959.19 is: 172,438.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,478.62 : 621,717.90 = 114,959.19 : x
  2. Step 2: Convert to fraction form
    414,478.62/621,717.90 = 114,959.19/x
  3. Step 3: Cross multiply
    414,478.62x = 621,717.90 × 114,959.19
  4. Step 4: Simplify right side
    414,478.62x = 71,472,186,192.50
  5. Step 5: Solve for x
    x = 71,472,186,192.50/414,478.62
  6. Step 6: Final answer
    x = 172,438.78

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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.