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Finding the Fourth Proportional to 364,312.32, 502,727.28 and 200,959

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Solution

The fourth proportional to 364,312.32, 502,727.28 and 200,959 is: 277,310.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,312.32 : 502,727.28 = 200,959 : x
  2. Step 2: Convert to fraction form
    364,312.32/502,727.28 = 200,959/x
  3. Step 3: Cross multiply
    364,312.32x = 502,727.28 × 200,959
  4. Step 4: Simplify right side
    364,312.32x = 101,027,571,461.52
  5. Step 5: Solve for x
    x = 101,027,571,461.52/364,312.32
  6. Step 6: Final answer
    x = 277,310.33

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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.