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Finding the Fourth Proportional to 410,209.46, 566,117.50 and 228,956.70

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Solution

The fourth proportional to 410,209.46, 566,117.50 and 228,956.70 is: 315,976.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,209.46 : 566,117.50 = 228,956.70 : x
  2. Step 2: Convert to fraction form
    410,209.46/566,117.50 = 228,956.70/x
  3. Step 3: Cross multiply
    410,209.46x = 566,117.50 × 228,956.70
  4. Step 4: Simplify right side
    410,209.46x = 129,616,394,039.86
  5. Step 5: Solve for x
    x = 129,616,394,039.86/410,209.46
  6. Step 6: Final answer
    x = 315,976.13

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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.