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Finding the Fourth Proportional to 348,543.10, 522,123.45 and 207,883.90

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Solution

The fourth proportional to 348,543.10, 522,123.45 and 207,883.90 is: 311,413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,543.10 : 522,123.45 = 207,883.90 : x
  2. Step 2: Convert to fraction form
    348,543.10/522,123.45 = 207,883.90/x
  3. Step 3: Cross multiply
    348,543.10x = 522,123.45 × 207,883.90
  4. Step 4: Simplify right side
    348,543.10x = 108,541,059,067.46
  5. Step 5: Solve for x
    x = 108,541,059,067.46/348,543.10
  6. Step 6: Final answer
    x = 311,413.59

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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.