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Finding the Fourth Proportional to 580,464.97, 870,359.16 and 225,063.80

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Solution

The fourth proportional to 580,464.97, 870,359.16 and 225,063.80 is: 337,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,464.97 : 870,359.16 = 225,063.80 : x
  2. Step 2: Convert to fraction form
    580,464.97/870,359.16 = 225,063.80/x
  3. Step 3: Cross multiply
    580,464.97x = 870,359.16 × 225,063.80
  4. Step 4: Simplify right side
    580,464.97x = 195,886,339,914.41
  5. Step 5: Solve for x
    x = 195,886,339,914.41/580,464.97
  6. Step 6: Final answer
    x = 337,464.53

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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.