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Finding the Fourth Proportional to 296,225.48, 408,789.42 and 160,259

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Solution

The fourth proportional to 296,225.48, 408,789.42 and 160,259 is: 221,156.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,225.48 : 408,789.42 = 160,259 : x
  2. Step 2: Convert to fraction form
    296,225.48/408,789.42 = 160,259/x
  3. Step 3: Cross multiply
    296,225.48x = 408,789.42 × 160,259
  4. Step 4: Simplify right side
    296,225.48x = 65,512,183,659.78
  5. Step 5: Solve for x
    x = 65,512,183,659.78/296,225.48
  6. Step 6: Final answer
    x = 221,156.48

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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.