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Finding the Fourth Proportional to 274,013.80, 411,443.10 and 149,597.80

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Solution

The fourth proportional to 274,013.80, 411,443.10 and 149,597.80 is: 224,627.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,013.80 : 411,443.10 = 149,597.80 : x
  2. Step 2: Convert to fraction form
    274,013.80/411,443.10 = 149,597.80/x
  3. Step 3: Cross multiply
    274,013.80x = 411,443.10 × 149,597.80
  4. Step 4: Simplify right side
    274,013.80x = 61,550,982,585.18
  5. Step 5: Solve for x
    x = 61,550,982,585.18/274,013.80
  6. Step 6: Final answer
    x = 224,627.31

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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.