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Finding the Fourth Proportional to 410,834.60, 616,251.90 and 410,834.60

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Solution

The fourth proportional to 410,834.60, 616,251.90 and 410,834.60 is: 616,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,834.60 : 616,251.90 = 410,834.60 : x
  2. Step 2: Convert to fraction form
    410,834.60/616,251.90 = 410,834.60/x
  3. Step 3: Cross multiply
    410,834.60x = 616,251.90 × 410,834.60
  4. Step 4: Simplify right side
    410,834.60x = 253,177,602,835.74
  5. Step 5: Solve for x
    x = 253,177,602,835.74/410,834.60
  6. Step 6: Final answer
    x = 616,251.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.