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Finding the Fourth Proportional to 416,553.84, 624,701.47 and 150,279.66

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Solution

The fourth proportional to 416,553.84, 624,701.47 and 150,279.66 is: 225,372.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,553.84 : 624,701.47 = 150,279.66 : x
  2. Step 2: Convert to fraction form
    416,553.84/624,701.47 = 150,279.66/x
  3. Step 3: Cross multiply
    416,553.84x = 624,701.47 × 150,279.66
  4. Step 4: Simplify right side
    416,553.84x = 93,879,924,513.10
  5. Step 5: Solve for x
    x = 93,879,924,513.10/416,553.84
  6. Step 6: Final answer
    x = 225,372.85

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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.