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Finding the Fourth Proportional to 296,128.58, 408,656.22 and 160,162.68

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Solution

The fourth proportional to 296,128.58, 408,656.22 and 160,162.68 is: 221,023.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,128.58 : 408,656.22 = 160,162.68 : x
  2. Step 2: Convert to fraction form
    296,128.58/408,656.22 = 160,162.68/x
  3. Step 3: Cross multiply
    296,128.58x = 408,656.22 × 160,162.68
  4. Step 4: Simplify right side
    296,128.58x = 65,451,475,393.87
  5. Step 5: Solve for x
    x = 65,451,475,393.87/296,128.58
  6. Step 6: Final answer
    x = 221,023.84

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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.