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Finding the Fourth Proportional to 348,493.60, 522,049.20 and 207,834.40

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Solution

The fourth proportional to 348,493.60, 522,049.20 and 207,834.40 is: 311,339.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,493.60 : 522,049.20 = 207,834.40 : x
  2. Step 2: Convert to fraction form
    348,493.60/522,049.20 = 207,834.40/x
  3. Step 3: Cross multiply
    348,493.60x = 522,049.20 × 207,834.40
  4. Step 4: Simplify right side
    348,493.60x = 108,499,782,252.48
  5. Step 5: Solve for x
    x = 108,499,782,252.48/348,493.60
  6. Step 6: Final answer
    x = 311,339.38

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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.