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Finding the Fourth Proportional to 586,851.20, 880,568.40 and 231,876.80

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Solution

The fourth proportional to 586,851.20, 880,568.40 and 231,876.80 is: 347,930.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,851.20 : 880,568.40 = 231,876.80 : x
  2. Step 2: Convert to fraction form
    586,851.20/880,568.40 = 231,876.80/x
  3. Step 3: Cross multiply
    586,851.20x = 880,568.40 × 231,876.80
  4. Step 4: Simplify right side
    586,851.20x = 204,183,382,773.12
  5. Step 5: Solve for x
    x = 204,183,382,773.12/586,851.20
  6. Step 6: Final answer
    x = 347,930.42

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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.