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Finding the Fourth Proportional to 296,130.27, 408,659.72 and 160,164.18

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Solution

The fourth proportional to 296,130.27, 408,659.72 and 160,164.18 is: 221,026.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,130.27 : 408,659.72 = 160,164.18 : x
  2. Step 2: Convert to fraction form
    296,130.27/408,659.72 = 160,164.18/x
  3. Step 3: Cross multiply
    296,130.27x = 408,659.72 × 160,164.18
  4. Step 4: Simplify right side
    296,130.27x = 65,452,648,354.04
  5. Step 5: Solve for x
    x = 65,452,648,354.04/296,130.27
  6. Step 6: Final answer
    x = 221,026.54

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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.