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Finding the Fourth Proportional to 442,888.49, 663,333.94 and 205,732.10

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Solution

The fourth proportional to 442,888.49, 663,333.94 and 205,732.10 is: 308,134.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,888.49 : 663,333.94 = 205,732.10 : x
  2. Step 2: Convert to fraction form
    442,888.49/663,333.94 = 205,732.10/x
  3. Step 3: Cross multiply
    442,888.49x = 663,333.94 × 205,732.10
  4. Step 4: Simplify right side
    442,888.49x = 136,469,085,621.48
  5. Step 5: Solve for x
    x = 136,469,085,621.48/442,888.49
  6. Step 6: Final answer
    x = 308,134.19

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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.