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Finding the Fourth Proportional to 398,999.76, 597,999.96 and 199,376.16

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Solution

The fourth proportional to 398,999.76, 597,999.96 and 199,376.16 is: 298,814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,999.76 : 597,999.96 = 199,376.16 : x
  2. Step 2: Convert to fraction form
    398,999.76/597,999.96 = 199,376.16/x
  3. Step 3: Cross multiply
    398,999.76x = 597,999.96 × 199,376.16
  4. Step 4: Simplify right side
    398,999.76x = 119,226,935,704.95
  5. Step 5: Solve for x
    x = 119,226,935,704.95/398,999.76
  6. Step 6: Final answer
    x = 298,814.55

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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.