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Finding the Fourth Proportional to 364,385.82, 502,853.32 and 203,251.31

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Solution

The fourth proportional to 364,385.82, 502,853.32 and 203,251.31 is: 280,487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,385.82 : 502,853.32 = 203,251.31 : x
  2. Step 2: Convert to fraction form
    364,385.82/502,853.32 = 203,251.31/x
  3. Step 3: Cross multiply
    364,385.82x = 502,853.32 × 203,251.31
  4. Step 4: Simplify right side
    364,385.82x = 102,205,593,767.65
  5. Step 5: Solve for x
    x = 102,205,593,767.65/364,385.82
  6. Step 6: Final answer
    x = 280,487.30

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1.5x scale

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.