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Finding the Fourth Proportional to 460,700.30, 691,085.44 and 157,000.08

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Solution

The fourth proportional to 460,700.30, 691,085.44 and 157,000.08 is: 235,512.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,700.30 : 691,085.44 = 157,000.08 : x
  2. Step 2: Convert to fraction form
    460,700.30/691,085.44 = 157,000.08/x
  3. Step 3: Cross multiply
    460,700.30x = 691,085.44 × 157,000.08
  4. Step 4: Simplify right side
    460,700.30x = 108,500,469,366.84
  5. Step 5: Solve for x
    x = 108,500,469,366.84/460,700.30
  6. Step 6: Final answer
    x = 235,512.04

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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.