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Finding the Fourth Proportional to 420,423.58, 580,197.36 and 239,161.78

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Solution

The fourth proportional to 420,423.58, 580,197.36 and 239,161.78 is: 330,050.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,423.58 : 580,197.36 = 239,161.78 : x
  2. Step 2: Convert to fraction form
    420,423.58/580,197.36 = 239,161.78/x
  3. Step 3: Cross multiply
    420,423.58x = 580,197.36 × 239,161.78
  4. Step 4: Simplify right side
    420,423.58x = 138,761,033,368.90
  5. Step 5: Solve for x
    x = 138,761,033,368.90/420,423.58
  6. Step 6: Final answer
    x = 330,050.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.