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Finding the Fourth Proportional to 381,675.80, 572,513.70 and 222,024.80

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Solution

The fourth proportional to 381,675.80, 572,513.70 and 222,024.80 is: 333,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,675.80 : 572,513.70 = 222,024.80 : x
  2. Step 2: Convert to fraction form
    381,675.80/572,513.70 = 222,024.80/x
  3. Step 3: Cross multiply
    381,675.80x = 572,513.70 × 222,024.80
  4. Step 4: Simplify right side
    381,675.80x = 127,112,239,739.76
  5. Step 5: Solve for x
    x = 127,112,239,739.76/381,675.80
  6. Step 6: Final answer
    x = 333,037.20

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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.