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Finding the Fourth Proportional to 286,809.38, 395,806.53 and 157,753.29

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Solution

The fourth proportional to 286,809.38, 395,806.53 and 157,753.29 is: 217,704.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,809.38 : 395,806.53 = 157,753.29 : x
  2. Step 2: Convert to fraction form
    286,809.38/395,806.53 = 157,753.29/x
  3. Step 3: Cross multiply
    286,809.38x = 395,806.53 × 157,753.29
  4. Step 4: Simplify right side
    286,809.38x = 62,439,782,310.98
  5. Step 5: Solve for x
    x = 62,439,782,310.98/286,809.38
  6. Step 6: Final answer
    x = 217,704.81

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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.