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Finding the Fourth Proportional to 398,213.30, 597,312.27 and 98,694.50

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Solution

The fourth proportional to 398,213.30, 597,312.27 and 98,694.50 is: 148,039.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,213.30 : 597,312.27 = 98,694.50 : x
  2. Step 2: Convert to fraction form
    398,213.30/597,312.27 = 98,694.50/x
  3. Step 3: Cross multiply
    398,213.30x = 597,312.27 × 98,694.50
  4. Step 4: Simplify right side
    398,213.30x = 58,951,435,831.52
  5. Step 5: Solve for x
    x = 58,951,435,831.52/398,213.30
  6. Step 6: Final answer
    x = 148,039.85

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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.