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Finding the Fourth Proportional to 275,715.80, 413,573.70 and 157,399.10

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Solution

The fourth proportional to 275,715.80, 413,573.70 and 157,399.10 is: 236,098.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,715.80 : 413,573.70 = 157,399.10 : x
  2. Step 2: Convert to fraction form
    275,715.80/413,573.70 = 157,399.10/x
  3. Step 3: Cross multiply
    275,715.80x = 413,573.70 × 157,399.10
  4. Step 4: Simplify right side
    275,715.80x = 65,096,128,163.67
  5. Step 5: Solve for x
    x = 65,096,128,163.67/275,715.80
  6. Step 6: Final answer
    x = 236,098.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.