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Finding the Fourth Proportional to 416,543.91, 624,686.40 and 150,269.64

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Solution

The fourth proportional to 416,543.91, 624,686.40 and 150,269.64 is: 225,357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,543.91 : 624,686.40 = 150,269.64 : x
  2. Step 2: Convert to fraction form
    416,543.91/624,686.40 = 150,269.64/x
  3. Step 3: Cross multiply
    416,543.91x = 624,686.40 × 150,269.64
  4. Step 4: Simplify right side
    416,543.91x = 93,871,400,440.90
  5. Step 5: Solve for x
    x = 93,871,400,440.90/416,543.91
  6. Step 6: Final answer
    x = 225,357.76

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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.