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Finding the Fourth Proportional to 295,706.20, 408,074.54 and 161,570.20

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Solution

The fourth proportional to 295,706.20, 408,074.54 and 161,570.20 is: 222,966.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,706.20 : 408,074.54 = 161,570.20 : x
  2. Step 2: Convert to fraction form
    295,706.20/408,074.54 = 161,570.20/x
  3. Step 3: Cross multiply
    295,706.20x = 408,074.54 × 161,570.20
  4. Step 4: Simplify right side
    295,706.20x = 65,932,685,042.71
  5. Step 5: Solve for x
    x = 65,932,685,042.71/295,706.20
  6. Step 6: Final answer
    x = 222,966.87

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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.