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Finding the Fourth Proportional to 416,593.80, 624,516.48 and 150,291.72

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Solution

The fourth proportional to 416,593.80, 624,516.48 and 150,291.72 is: 225,302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,593.80 : 624,516.48 = 150,291.72 : x
  2. Step 2: Convert to fraction form
    416,593.80/624,516.48 = 150,291.72/x
  3. Step 3: Cross multiply
    416,593.80x = 624,516.48 × 150,291.72
  4. Step 4: Simplify right side
    416,593.80x = 93,859,655,947.55
  5. Step 5: Solve for x
    x = 93,859,655,947.55/416,593.80
  6. Step 6: Final answer
    x = 225,302.58

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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.