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Finding the Fourth Proportional to 542,980.20, 813,951.90 and 422,970.60

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Solution

The fourth proportional to 542,980.20, 813,951.90 and 422,970.60 is: 634,052.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,980.20 : 813,951.90 = 422,970.60 : x
  2. Step 2: Convert to fraction form
    542,980.20/813,951.90 = 422,970.60/x
  3. Step 3: Cross multiply
    542,980.20x = 813,951.90 × 422,970.60
  4. Step 4: Simplify right side
    542,980.20x = 344,277,723,514.14
  5. Step 5: Solve for x
    x = 344,277,723,514.14/542,980.20
  6. Step 6: Final answer
    x = 634,052.08

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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.