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Finding the Fourth Proportional to 410,080.62, 565,909.52 and 228,792.70

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Solution

The fourth proportional to 410,080.62, 565,909.52 and 228,792.70 is: 315,732.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,080.62 : 565,909.52 = 228,792.70 : x
  2. Step 2: Convert to fraction form
    410,080.62/565,909.52 = 228,792.70/x
  3. Step 3: Cross multiply
    410,080.62x = 565,909.52 × 228,792.70
  4. Step 4: Simplify right side
    410,080.62x = 129,475,964,206.96
  5. Step 5: Solve for x
    x = 129,475,964,206.96/410,080.62
  6. Step 6: Final answer
    x = 315,732.95

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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.