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Finding the Fourth Proportional to 398,270.88, 597,420.84 and 132,054.66

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Solution

The fourth proportional to 398,270.88, 597,420.84 and 132,054.66 is: 198,086.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,270.88 : 597,420.84 = 132,054.66 : x
  2. Step 2: Convert to fraction form
    398,270.88/597,420.84 = 132,054.66/x
  3. Step 3: Cross multiply
    398,270.88x = 597,420.84 × 132,054.66
  4. Step 4: Simplify right side
    398,270.88x = 78,892,205,903.11
  5. Step 5: Solve for x
    x = 78,892,205,903.11/398,270.88
  6. Step 6: Final answer
    x = 198,086.80

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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.