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Finding the Fourth Proportional to 497,627.93, 746,443.81 and 151,414.79

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Solution

The fourth proportional to 497,627.93, 746,443.81 and 151,414.79 is: 227,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,627.93 : 746,443.81 = 151,414.79 : x
  2. Step 2: Convert to fraction form
    497,627.93/746,443.81 = 151,414.79/x
  3. Step 3: Cross multiply
    497,627.93x = 746,443.81 × 151,414.79
  4. Step 4: Simplify right side
    497,627.93x = 113,022,632,737.95
  5. Step 5: Solve for x
    x = 113,022,632,737.95/497,627.93
  6. Step 6: Final answer
    x = 227,122.77

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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.