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Finding the Fourth Proportional to 414,339.85, 621,541.10 and 114,816.97

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Solution

The fourth proportional to 414,339.85, 621,541.10 and 114,816.97 is: 172,234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,339.85 : 621,541.10 = 114,816.97 : x
  2. Step 2: Convert to fraction form
    414,339.85/621,541.10 = 114,816.97/x
  3. Step 3: Cross multiply
    414,339.85x = 621,541.10 × 114,816.97
  4. Step 4: Simplify right side
    414,339.85x = 71,363,465,832.47
  5. Step 5: Solve for x
    x = 71,363,465,832.47/414,339.85
  6. Step 6: Final answer
    x = 172,234.14

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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.