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Finding the Fourth Proportional to 614,793.76, 922,252.12 and 188,324.64

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Solution

The fourth proportional to 614,793.76, 922,252.12 and 188,324.64 is: 282,505.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,793.76 : 922,252.12 = 188,324.64 : x
  2. Step 2: Convert to fraction form
    614,793.76/922,252.12 = 188,324.64/x
  3. Step 3: Cross multiply
    614,793.76x = 922,252.12 × 188,324.64
  4. Step 4: Simplify right side
    614,793.76x = 173,682,798,017.43
  5. Step 5: Solve for x
    x = 173,682,798,017.43/614,793.76
  6. Step 6: Final answer
    x = 282,505.79

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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.