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Finding the Fourth Proportional to 296,290.87, 408,878.43 and 160,321.84

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Solution

The fourth proportional to 296,290.87, 408,878.43 and 160,321.84 is: 221,242.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,290.87 : 408,878.43 = 160,321.84 : x
  2. Step 2: Convert to fraction form
    296,290.87/408,878.43 = 160,321.84/x
  3. Step 3: Cross multiply
    296,290.87x = 408,878.43 × 160,321.84
  4. Step 4: Simplify right side
    296,290.87x = 65,552,142,233.91
  5. Step 5: Solve for x
    x = 65,552,142,233.91/296,290.87
  6. Step 6: Final answer
    x = 221,242.53

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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.