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Finding the Fourth Proportional to 295,767, 408,158.46 and 161,631

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Solution

The fourth proportional to 295,767, 408,158.46 and 161,631 is: 223,050.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,767 : 408,158.46 = 161,631 : x
  2. Step 2: Convert to fraction form
    295,767/408,158.46 = 161,631/x
  3. Step 3: Cross multiply
    295,767x = 408,158.46 × 161,631
  4. Step 4: Simplify right side
    295,767x = 65,971,060,048.26
  5. Step 5: Solve for x
    x = 65,971,060,048.26/295,767
  6. Step 6: Final answer
    x = 223,050.78

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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.