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Finding the Fourth Proportional to 296,351.16, 408,961.44 and 160,382.22

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Solution

The fourth proportional to 296,351.16, 408,961.44 and 160,382.22 is: 221,325.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,351.16 : 408,961.44 = 160,382.22 : x
  2. Step 2: Convert to fraction form
    296,351.16/408,961.44 = 160,382.22/x
  3. Step 3: Cross multiply
    296,351.16x = 408,961.44 × 160,382.22
  4. Step 4: Simplify right side
    296,351.16x = 65,590,143,641.60
  5. Step 5: Solve for x
    x = 65,590,143,641.60/296,351.16
  6. Step 6: Final answer
    x = 221,325.75

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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.