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Finding the Fourth Proportional to 364,414.80, 502,893.16 and 203,265.70

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Solution

The fourth proportional to 364,414.80, 502,893.16 and 203,265.70 is: 280,507.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,414.80 : 502,893.16 = 203,265.70 : x
  2. Step 2: Convert to fraction form
    364,414.80/502,893.16 = 203,265.70/x
  3. Step 3: Cross multiply
    364,414.80x = 502,893.16 × 203,265.70
  4. Step 4: Simplify right side
    364,414.80x = 102,220,930,192.61
  5. Step 5: Solve for x
    x = 102,220,930,192.61/364,414.80
  6. Step 6: Final answer
    x = 280,507.08

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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.