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Finding the Fourth Proportional to 296,222.40, 408,784.59 and 160,255.92

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Solution

The fourth proportional to 296,222.40, 408,784.59 and 160,255.92 is: 221,151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,222.40 : 408,784.59 = 160,255.92 : x
  2. Step 2: Convert to fraction form
    296,222.40/408,784.59 = 160,255.92/x
  3. Step 3: Cross multiply
    296,222.40x = 408,784.59 × 160,255.92
  4. Step 4: Simplify right side
    296,222.40x = 65,510,149,785.80
  5. Step 5: Solve for x
    x = 65,510,149,785.80/296,222.40
  6. Step 6: Final answer
    x = 221,151.91

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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.