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Finding the Fourth Proportional to 298,497.60, 447,464.88 and 148,596

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Solution

The fourth proportional to 298,497.60, 447,464.88 and 148,596 is: 222,753.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,497.60 : 447,464.88 = 148,596 : x
  2. Step 2: Convert to fraction form
    298,497.60/447,464.88 = 148,596/x
  3. Step 3: Cross multiply
    298,497.60x = 447,464.88 × 148,596
  4. Step 4: Simplify right side
    298,497.60x = 66,491,491,308.48
  5. Step 5: Solve for x
    x = 66,491,491,308.48/298,497.60
  6. Step 6: Final answer
    x = 222,753.86

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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.