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Finding the Fourth Proportional to 416,549.34, 624,694.73 and 150,275.16

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Solution

The fourth proportional to 416,549.34, 624,694.73 and 150,275.16 is: 225,366.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,549.34 : 624,694.73 = 150,275.16 : x
  2. Step 2: Convert to fraction form
    416,549.34/624,694.73 = 150,275.16/x
  3. Step 3: Cross multiply
    416,549.34x = 624,694.73 × 150,275.16
  4. Step 4: Simplify right side
    416,549.34x = 93,876,099,750.53
  5. Step 5: Solve for x
    x = 93,876,099,750.53/416,549.34
  6. Step 6: Final answer
    x = 225,366.10

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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.