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Finding the Fourth Proportional to 458,229.67, 686,424.75 and 233,581.03

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Solution

The fourth proportional to 458,229.67, 686,424.75 and 233,581.03 is: 349,902.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,229.67 : 686,424.75 = 233,581.03 : x
  2. Step 2: Convert to fraction form
    458,229.67/686,424.75 = 233,581.03/x
  3. Step 3: Cross multiply
    458,229.67x = 686,424.75 × 233,581.03
  4. Step 4: Simplify right side
    458,229.67x = 160,335,800,122.49
  5. Step 5: Solve for x
    x = 160,335,800,122.49/458,229.67
  6. Step 6: Final answer
    x = 349,902.70

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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.