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Finding the Fourth Proportional to 475,641.92, 656,382.38 and 260,778.44

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Solution

The fourth proportional to 475,641.92, 656,382.38 and 260,778.44 is: 359,872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,641.92 : 656,382.38 = 260,778.44 : x
  2. Step 2: Convert to fraction form
    475,641.92/656,382.38 = 260,778.44/x
  3. Step 3: Cross multiply
    475,641.92x = 656,382.38 × 260,778.44
  4. Step 4: Simplify right side
    475,641.92x = 171,170,373,099.89
  5. Step 5: Solve for x
    x = 171,170,373,099.89/475,641.92
  6. Step 6: Final answer
    x = 359,872.34

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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.