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Finding the Fourth Proportional to 296,091.26, 408,609.16 and 160,127.85

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Solution

The fourth proportional to 296,091.26, 408,609.16 and 160,127.85 is: 220,978.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,091.26 : 408,609.16 = 160,127.85 : x
  2. Step 2: Convert to fraction form
    296,091.26/408,609.16 = 160,127.85/x
  3. Step 3: Cross multiply
    296,091.26x = 408,609.16 × 160,127.85
  4. Step 4: Simplify right side
    296,091.26x = 65,429,706,281.11
  5. Step 5: Solve for x
    x = 65,429,706,281.11/296,091.26
  6. Step 6: Final answer
    x = 220,978.18

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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.