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Finding the Fourth Proportional to 398,019.48, 597,108.01 and 113,712.45

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Solution

The fourth proportional to 398,019.48, 597,108.01 and 113,712.45 is: 170,591.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,019.48 : 597,108.01 = 113,712.45 : x
  2. Step 2: Convert to fraction form
    398,019.48/597,108.01 = 113,712.45/x
  3. Step 3: Cross multiply
    398,019.48x = 597,108.01 × 113,712.45
  4. Step 4: Simplify right side
    398,019.48x = 67,898,614,731.72
  5. Step 5: Solve for x
    x = 67,898,614,731.72/398,019.48
  6. Step 6: Final answer
    x = 170,591.18

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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.