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Finding the Fourth Proportional to 410,124.20, 565,972.96 and 228,843.77

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Solution

The fourth proportional to 410,124.20, 565,972.96 and 228,843.77 is: 315,805.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,124.20 : 565,972.96 = 228,843.77 : x
  2. Step 2: Convert to fraction form
    410,124.20/565,972.96 = 228,843.77/x
  3. Step 3: Cross multiply
    410,124.20x = 565,972.96 × 228,843.77
  4. Step 4: Simplify right side
    410,124.20x = 129,519,381,910.38
  5. Step 5: Solve for x
    x = 129,519,381,910.38/410,124.20
  6. Step 6: Final answer
    x = 315,805.27

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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.