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Finding the Fourth Proportional to 296,287.25, 408,873.44 and 160,318.22

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Solution

The fourth proportional to 296,287.25, 408,873.44 and 160,318.22 is: 221,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,287.25 : 408,873.44 = 160,318.22 : x
  2. Step 2: Convert to fraction form
    296,287.25/408,873.44 = 160,318.22/x
  3. Step 3: Cross multiply
    296,287.25x = 408,873.44 × 160,318.22
  4. Step 4: Simplify right side
    296,287.25x = 65,549,862,106.08
  5. Step 5: Solve for x
    x = 65,549,862,106.08/296,287.25
  6. Step 6: Final answer
    x = 221,237.54

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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.