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Finding the Fourth Proportional to 296,225.44, 408,789.40 and 160,258.96

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Solution

The fourth proportional to 296,225.44, 408,789.40 and 160,258.96 is: 221,156.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,225.44 : 408,789.40 = 160,258.96 : x
  2. Step 2: Convert to fraction form
    296,225.44/408,789.40 = 160,258.96/x
  3. Step 3: Cross multiply
    296,225.44x = 408,789.40 × 160,258.96
  4. Step 4: Simplify right side
    296,225.44x = 65,512,164,103.02
  5. Step 5: Solve for x
    x = 65,512,164,103.02/296,225.44
  6. Step 6: Final answer
    x = 221,156.44

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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.