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Finding the Fourth Proportional to 596,700.56, 823,751.84 and 460,428.60

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Solution

The fourth proportional to 596,700.56, 823,751.84 and 460,428.60 is: 635,626.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,700.56 : 823,751.84 = 460,428.60 : x
  2. Step 2: Convert to fraction form
    596,700.56/823,751.84 = 460,428.60/x
  3. Step 3: Cross multiply
    596,700.56x = 823,751.84 × 460,428.60
  4. Step 4: Simplify right side
    596,700.56x = 379,278,906,438.62
  5. Step 5: Solve for x
    x = 379,278,906,438.62/596,700.56
  6. Step 6: Final answer
    x = 635,626.87

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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.