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Finding the Fourth Proportional to 398,456.48, 597,772.16 and 117,995.52

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Solution

The fourth proportional to 398,456.48, 597,772.16 and 117,995.52 is: 177,019.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,456.48 : 597,772.16 = 117,995.52 : x
  2. Step 2: Convert to fraction form
    398,456.48/597,772.16 = 117,995.52/x
  3. Step 3: Cross multiply
    398,456.48x = 597,772.16 × 117,995.52
  4. Step 4: Simplify right side
    398,456.48x = 70,534,436,860.72
  5. Step 5: Solve for x
    x = 70,534,436,860.72/398,456.48
  6. Step 6: Final answer
    x = 177,019.17

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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.