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Finding the Fourth Proportional to 519,414.40, 778,545.60 and 203,766.40

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Solution

The fourth proportional to 519,414.40, 778,545.60 and 203,766.40 is: 305,423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,414.40 : 778,545.60 = 203,766.40 : x
  2. Step 2: Convert to fraction form
    519,414.40/778,545.60 = 203,766.40/x
  3. Step 3: Cross multiply
    519,414.40x = 778,545.60 × 203,766.40
  4. Step 4: Simplify right side
    519,414.40x = 158,641,434,147.84
  5. Step 5: Solve for x
    x = 158,641,434,147.84/519,414.40
  6. Step 6: Final answer
    x = 305,423.64

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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.