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Finding the Fourth Proportional to 398,468.20, 597,702.30 and 149,117.80

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Solution

The fourth proportional to 398,468.20, 597,702.30 and 149,117.80 is: 223,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,468.20 : 597,702.30 = 149,117.80 : x
  2. Step 2: Convert to fraction form
    398,468.20/597,702.30 = 149,117.80/x
  3. Step 3: Cross multiply
    398,468.20x = 597,702.30 × 149,117.80
  4. Step 4: Simplify right side
    398,468.20x = 89,128,052,030.94
  5. Step 5: Solve for x
    x = 89,128,052,030.94/398,468.20
  6. Step 6: Final answer
    x = 223,676.70

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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.