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Finding the Fourth Proportional to 407,880.20, 611,883.75 and 123,503.04

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Solution

The fourth proportional to 407,880.20, 611,883.75 and 123,503.04 is: 185,273.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,880.20 : 611,883.75 = 123,503.04 : x
  2. Step 2: Convert to fraction form
    407,880.20/611,883.75 = 123,503.04/x
  3. Step 3: Cross multiply
    407,880.20x = 611,883.75 × 123,503.04
  4. Step 4: Simplify right side
    407,880.20x = 75,569,503,251.60
  5. Step 5: Solve for x
    x = 75,569,503,251.60/407,880.20
  6. Step 6: Final answer
    x = 185,273.77

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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.