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Finding the Fourth Proportional to 296,049.20, 408,557.60 and 161,913.20

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Solution

The fourth proportional to 296,049.20, 408,557.60 and 161,913.20 is: 223,445.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,049.20 : 408,557.60 = 161,913.20 : x
  2. Step 2: Convert to fraction form
    296,049.20/408,557.60 = 161,913.20/x
  3. Step 3: Cross multiply
    296,049.20x = 408,557.60 × 161,913.20
  4. Step 4: Simplify right side
    296,049.20x = 66,150,865,547.97
  5. Step 5: Solve for x
    x = 66,150,865,547.97/296,049.20
  6. Step 6: Final answer
    x = 223,445.52

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1.5x scale

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.