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Finding the Fourth Proportional to 614,793.74, 922,252.10 and 188,324.64

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Solution

The fourth proportional to 614,793.74, 922,252.10 and 188,324.64 is: 282,505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,793.74 : 922,252.10 = 188,324.64 : x
  2. Step 2: Convert to fraction form
    614,793.74/922,252.10 = 188,324.64/x
  3. Step 3: Cross multiply
    614,793.74x = 922,252.10 × 188,324.64
  4. Step 4: Simplify right side
    614,793.74x = 173,682,793,780.12
  5. Step 5: Solve for x
    x = 173,682,793,780.12/614,793.74
  6. Step 6: Final answer
    x = 282,505.80

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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.