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Finding the Fourth Proportional to 296,134.77, 408,665.94 and 160,168.68

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Solution

The fourth proportional to 296,134.77, 408,665.94 and 160,168.68 is: 221,032.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,134.77 : 408,665.94 = 160,168.68 : x
  2. Step 2: Convert to fraction form
    296,134.77/408,665.94 = 160,168.68/x
  3. Step 3: Cross multiply
    296,134.77x = 408,665.94 × 160,168.68
  4. Step 4: Simplify right side
    296,134.77x = 65,455,484,170.76
  5. Step 5: Solve for x
    x = 65,455,484,170.76/296,134.77
  6. Step 6: Final answer
    x = 221,032.76

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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.