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Finding the Fourth Proportional to 295,706.25, 408,074.63 and 161,570.25

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Solution

The fourth proportional to 295,706.25, 408,074.63 and 161,570.25 is: 222,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,706.25 : 408,074.63 = 161,570.25 : x
  2. Step 2: Convert to fraction form
    295,706.25/408,074.63 = 161,570.25/x
  3. Step 3: Cross multiply
    295,706.25x = 408,074.63 × 161,570.25
  4. Step 4: Simplify right side
    295,706.25x = 65,932,719,179.91
  5. Step 5: Solve for x
    x = 65,932,719,179.91/295,706.25
  6. Step 6: Final answer
    x = 222,966.95

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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.