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Finding the Fourth Proportional to 364,317.12, 502,733.79 and 200,963.79

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Solution

The fourth proportional to 364,317.12, 502,733.79 and 200,963.79 is: 277,316.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,317.12 : 502,733.79 = 200,963.79 : x
  2. Step 2: Convert to fraction form
    364,317.12/502,733.79 = 200,963.79/x
  3. Step 3: Cross multiply
    364,317.12x = 502,733.79 × 200,963.79
  4. Step 4: Simplify right side
    364,317.12x = 101,031,287,799.46
  5. Step 5: Solve for x
    x = 101,031,287,799.46/364,317.12
  6. Step 6: Final answer
    x = 277,316.88

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Why These Related Problems?

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