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Finding the Fourth Proportional to 298,229.64, 447,541.29 and 158,086.68

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Solution

The fourth proportional to 298,229.64, 447,541.29 and 158,086.68 is: 237,234.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,229.64 : 447,541.29 = 158,086.68 : x
  2. Step 2: Convert to fraction form
    298,229.64/447,541.29 = 158,086.68/x
  3. Step 3: Cross multiply
    298,229.64x = 447,541.29 × 158,086.68
  4. Step 4: Simplify right side
    298,229.64x = 70,750,316,699.02
  5. Step 5: Solve for x
    x = 70,750,316,699.02/298,229.64
  6. Step 6: Final answer
    x = 237,234.36

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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.