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Finding the Fourth Proportional to 416,538.91, 624,678.90 and 150,264.64

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Solution

The fourth proportional to 416,538.91, 624,678.90 and 150,264.64 is: 225,350.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,538.91 : 624,678.90 = 150,264.64 : x
  2. Step 2: Convert to fraction form
    416,538.91/624,678.90 = 150,264.64/x
  3. Step 3: Cross multiply
    416,538.91x = 624,678.90 × 150,264.64
  4. Step 4: Simplify right side
    416,538.91x = 93,867,150,024.10
  5. Step 5: Solve for x
    x = 93,867,150,024.10/416,538.91
  6. Step 6: Final answer
    x = 225,350.26

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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.