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Finding the Fourth Proportional to 460,700.87, 691,086.29 and 157,000.64

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Solution

The fourth proportional to 460,700.87, 691,086.29 and 157,000.64 is: 235,512.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,700.87 : 691,086.29 = 157,000.64 : x
  2. Step 2: Convert to fraction form
    460,700.87/691,086.29 = 157,000.64/x
  3. Step 3: Cross multiply
    460,700.87x = 691,086.29 × 157,000.64
  4. Step 4: Simplify right side
    460,700.87x = 108,500,985,584.79
  5. Step 5: Solve for x
    x = 108,500,985,584.79/460,700.87
  6. Step 6: Final answer
    x = 235,512.88

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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.