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Finding the Fourth Proportional to 460,690.53, 691,091.17 and 435,496.29

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Solution

The fourth proportional to 460,690.53, 691,091.17 and 435,496.29 is: 653,296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,690.53 : 691,091.17 = 435,496.29 : x
  2. Step 2: Convert to fraction form
    460,690.53/691,091.17 = 435,496.29/x
  3. Step 3: Cross multiply
    460,690.53x = 691,091.17 × 435,496.29
  4. Step 4: Simplify right side
    460,690.53x = 300,967,640,586.76
  5. Step 5: Solve for x
    x = 300,967,640,586.76/460,690.53
  6. Step 6: Final answer
    x = 653,296.78

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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.