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Finding the Fourth Proportional to 432,726.56, 649,144.44 and 148,340

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Solution

The fourth proportional to 432,726.56, 649,144.44 and 148,340 is: 222,528.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,726.56 : 649,144.44 = 148,340 : x
  2. Step 2: Convert to fraction form
    432,726.56/649,144.44 = 148,340/x
  3. Step 3: Cross multiply
    432,726.56x = 649,144.44 × 148,340
  4. Step 4: Simplify right side
    432,726.56x = 96,294,086,229.60
  5. Step 5: Solve for x
    x = 96,294,086,229.60/432,726.56
  6. Step 6: Final answer
    x = 222,528.72

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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.