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Finding the Fourth Proportional to 295,706.50, 408,085.05 and 161,579.14

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Solution

The fourth proportional to 295,706.50, 408,085.05 and 161,579.14 is: 222,984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,706.50 : 408,085.05 = 161,579.14 : x
  2. Step 2: Convert to fraction form
    295,706.50/408,085.05 = 161,579.14/x
  3. Step 3: Cross multiply
    295,706.50x = 408,085.05 × 161,579.14
  4. Step 4: Simplify right side
    295,706.50x = 65,938,031,425.86
  5. Step 5: Solve for x
    x = 65,938,031,425.86/295,706.50
  6. Step 6: Final answer
    x = 222,984.72

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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.