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Finding the Fourth Proportional to 321,031.49, 442,747.01 and 200,046.65

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Solution

The fourth proportional to 321,031.49, 442,747.01 and 200,046.65 is: 275,892.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,031.49 : 442,747.01 = 200,046.65 : x
  2. Step 2: Convert to fraction form
    321,031.49/442,747.01 = 200,046.65/x
  3. Step 3: Cross multiply
    321,031.49x = 442,747.01 × 200,046.65
  4. Step 4: Simplify right side
    321,031.49x = 88,570,054,434.40
  5. Step 5: Solve for x
    x = 88,570,054,434.40/321,031.49
  6. Step 6: Final answer
    x = 275,892.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.