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Finding the Fourth Proportional to 410,809.73, 616,446.65 and 221,266.08

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Solution

The fourth proportional to 410,809.73, 616,446.65 and 221,266.08 is: 332,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,809.73 : 616,446.65 = 221,266.08 : x
  2. Step 2: Convert to fraction form
    410,809.73/616,446.65 = 221,266.08/x
  3. Step 3: Cross multiply
    410,809.73x = 616,446.65 × 221,266.08
  4. Step 4: Simplify right side
    410,809.73x = 136,398,734,327.80
  5. Step 5: Solve for x
    x = 136,398,734,327.80/410,809.73
  6. Step 6: Final answer
    x = 332,024.11

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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.