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Finding the Fourth Proportional to 288,107.44, 397,625.88 and 160,809.46

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Solution

The fourth proportional to 288,107.44, 397,625.88 and 160,809.46 is: 221,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,107.44 : 397,625.88 = 160,809.46 : x
  2. Step 2: Convert to fraction form
    288,107.44/397,625.88 = 160,809.46/x
  3. Step 3: Cross multiply
    288,107.44x = 397,625.88 × 160,809.46
  4. Step 4: Simplify right side
    288,107.44x = 63,942,003,044.82
  5. Step 5: Solve for x
    x = 63,942,003,044.82/288,107.44
  6. Step 6: Final answer
    x = 221,938.05

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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.