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Finding the Fourth Proportional to 298,192.64, 447,432.64 and 148,446.11

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Solution

The fourth proportional to 298,192.64, 447,432.64 and 148,446.11 is: 222,740.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,192.64 : 447,432.64 = 148,446.11 : x
  2. Step 2: Convert to fraction form
    298,192.64/447,432.64 = 148,446.11/x
  3. Step 3: Cross multiply
    298,192.64x = 447,432.64 × 148,446.11
  4. Step 4: Simplify right side
    298,192.64x = 66,419,635,642.50
  5. Step 5: Solve for x
    x = 66,419,635,642.50/298,192.64
  6. Step 6: Final answer
    x = 222,740.70

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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.