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Finding the Fourth Proportional to 410,967.60, 616,566.60 and 200,612.40

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Solution

The fourth proportional to 410,967.60, 616,566.60 and 200,612.40 is: 300,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,967.60 : 616,566.60 = 200,612.40 : x
  2. Step 2: Convert to fraction form
    410,967.60/616,566.60 = 200,612.40/x
  3. Step 3: Cross multiply
    410,967.60x = 616,566.60 × 200,612.40
  4. Step 4: Simplify right side
    410,967.60x = 123,690,905,385.84
  5. Step 5: Solve for x
    x = 123,690,905,385.84/410,967.60
  6. Step 6: Final answer
    x = 300,974.83

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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.