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Finding the Fourth Proportional to 475,876.68, 656,728.20 and 261,025.80

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Solution

The fourth proportional to 475,876.68, 656,728.20 and 261,025.80 is: 360,225.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,876.68 : 656,728.20 = 261,025.80 : x
  2. Step 2: Convert to fraction form
    475,876.68/656,728.20 = 261,025.80/x
  3. Step 3: Cross multiply
    475,876.68x = 656,728.20 × 261,025.80
  4. Step 4: Simplify right side
    475,876.68x = 171,423,003,787.56
  5. Step 5: Solve for x
    x = 171,423,003,787.56/475,876.68
  6. Step 6: Final answer
    x = 360,225.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.