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Finding the Fourth Proportional to 398,581.60, 598,222.32 and 221,288.80

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Solution

The fourth proportional to 398,581.60, 598,222.32 and 221,288.80 is: 332,127.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,581.60 : 598,222.32 = 221,288.80 : x
  2. Step 2: Convert to fraction form
    398,581.60/598,222.32 = 221,288.80/x
  3. Step 3: Cross multiply
    398,581.60x = 598,222.32 × 221,288.80
  4. Step 4: Simplify right side
    398,581.60x = 132,379,899,326.02
  5. Step 5: Solve for x
    x = 132,379,899,326.02/398,581.60
  6. Step 6: Final answer
    x = 332,127.47

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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.