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Finding the Fourth Proportional to 364,385.31, 502,852.38 and 203,250.78

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Solution

The fourth proportional to 364,385.31, 502,852.38 and 203,250.78 is: 280,486.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,385.31 : 502,852.38 = 203,250.78 : x
  2. Step 2: Convert to fraction form
    364,385.31/502,852.38 = 203,250.78/x
  3. Step 3: Cross multiply
    364,385.31x = 502,852.38 × 203,250.78
  4. Step 4: Simplify right side
    364,385.31x = 102,205,138,459.86
  5. Step 5: Solve for x
    x = 102,205,138,459.86/364,385.31
  6. Step 6: Final answer
    x = 280,486.44

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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.