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Finding the Fourth Proportional to 374,209.28, 561,734.60 and 149,728.12

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Solution

The fourth proportional to 374,209.28, 561,734.60 and 149,728.12 is: 224,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,209.28 : 561,734.60 = 149,728.12 : x
  2. Step 2: Convert to fraction form
    374,209.28/561,734.60 = 149,728.12/x
  3. Step 3: Cross multiply
    374,209.28x = 561,734.60 × 149,728.12
  4. Step 4: Simplify right side
    374,209.28x = 84,107,465,596.95
  5. Step 5: Solve for x
    x = 84,107,465,596.95/374,209.28
  6. Step 6: Final answer
    x = 224,760.50

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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.