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Finding the Fourth Proportional to 398,279.20, 597,524.40 and 173,543.20

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Solution

The fourth proportional to 398,279.20, 597,524.40 and 173,543.20 is: 260,360.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,279.20 : 597,524.40 = 173,543.20 : x
  2. Step 2: Convert to fraction form
    398,279.20/597,524.40 = 173,543.20/x
  3. Step 3: Cross multiply
    398,279.20x = 597,524.40 × 173,543.20
  4. Step 4: Simplify right side
    398,279.20x = 103,696,296,454.08
  5. Step 5: Solve for x
    x = 103,696,296,454.08/398,279.20
  6. Step 6: Final answer
    x = 260,360.81

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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.