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Finding the Fourth Proportional to 458,229.68, 686,424.74 and 233,581.04

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Solution

The fourth proportional to 458,229.68, 686,424.74 and 233,581.04 is: 349,902.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,229.68 : 686,424.74 = 233,581.04 : x
  2. Step 2: Convert to fraction form
    458,229.68/686,424.74 = 233,581.04/x
  3. Step 3: Cross multiply
    458,229.68x = 686,424.74 × 233,581.04
  4. Step 4: Simplify right side
    458,229.68x = 160,335,804,650.93
  5. Step 5: Solve for x
    x = 160,335,804,650.93/458,229.68
  6. Step 6: Final answer
    x = 349,902.71

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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.