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Finding the Fourth Proportional to 294,443.80, 441,665.70 and 199,965.40

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Solution

The fourth proportional to 294,443.80, 441,665.70 and 199,965.40 is: 299,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,443.80 : 441,665.70 = 199,965.40 : x
  2. Step 2: Convert to fraction form
    294,443.80/441,665.70 = 199,965.40/x
  3. Step 3: Cross multiply
    294,443.80x = 441,665.70 × 199,965.40
  4. Step 4: Simplify right side
    294,443.80x = 88,317,858,366.78
  5. Step 5: Solve for x
    x = 88,317,858,366.78/294,443.80
  6. Step 6: Final answer
    x = 299,948.10

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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.