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Finding the Fourth Proportional to 441,223.76, 661,835.72 and 308,363.52

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Solution

The fourth proportional to 441,223.76, 661,835.72 and 308,363.52 is: 462,545.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,223.76 : 661,835.72 = 308,363.52 : x
  2. Step 2: Convert to fraction form
    441,223.76/661,835.72 = 308,363.52/x
  3. Step 3: Cross multiply
    441,223.76x = 661,835.72 × 308,363.52
  4. Step 4: Simplify right side
    441,223.76x = 204,085,992,280.93
  5. Step 5: Solve for x
    x = 204,085,992,280.93/441,223.76
  6. Step 6: Final answer
    x = 462,545.34

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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.