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Finding the Fourth Proportional to 348,543.60, 522,124.20 and 207,884.40

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Solution

The fourth proportional to 348,543.60, 522,124.20 and 207,884.40 is: 311,414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,543.60 : 522,124.20 = 207,884.40 : x
  2. Step 2: Convert to fraction form
    348,543.60/522,124.20 = 207,884.40/x
  3. Step 3: Cross multiply
    348,543.60x = 522,124.20 × 207,884.40
  4. Step 4: Simplify right side
    348,543.60x = 108,541,476,042.48
  5. Step 5: Solve for x
    x = 108,541,476,042.48/348,543.60
  6. Step 6: Final answer
    x = 311,414.34

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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.