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Finding the Fourth Proportional to 414,391.85, 621,526.18 and 114,841.20

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Solution

The fourth proportional to 414,391.85, 621,526.18 and 114,841.20 is: 172,244.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,391.85 : 621,526.18 = 114,841.20 : x
  2. Step 2: Convert to fraction form
    414,391.85/621,526.18 = 114,841.20/x
  3. Step 3: Cross multiply
    414,391.85x = 621,526.18 × 114,841.20
  4. Step 4: Simplify right side
    414,391.85x = 71,376,812,342.62
  5. Step 5: Solve for x
    x = 71,376,812,342.62/414,391.85
  6. Step 6: Final answer
    x = 172,244.73

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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.