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Finding the Fourth Proportional to 288,104.94, 397,622.43 and 160,806.96

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Solution

The fourth proportional to 288,104.94, 397,622.43 and 160,806.96 is: 221,934.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,104.94 : 397,622.43 = 160,806.96 : x
  2. Step 2: Convert to fraction form
    288,104.94/397,622.43 = 160,806.96/x
  3. Step 3: Cross multiply
    288,104.94x = 397,622.43 × 160,806.96
  4. Step 4: Simplify right side
    288,104.94x = 63,940,454,196.11
  5. Step 5: Solve for x
    x = 63,940,454,196.11/288,104.94
  6. Step 6: Final answer
    x = 221,934.60

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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.