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Finding the Fourth Proportional to 427,287.67, 589,633.02 and 233,656.97

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Solution

The fourth proportional to 427,287.67, 589,633.02 and 233,656.97 is: 322,433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,287.67 : 589,633.02 = 233,656.97 : x
  2. Step 2: Convert to fraction form
    427,287.67/589,633.02 = 233,656.97/x
  3. Step 3: Cross multiply
    427,287.67x = 589,633.02 × 233,656.97
  4. Step 4: Simplify right side
    427,287.67x = 137,771,861,916.98
  5. Step 5: Solve for x
    x = 137,771,861,916.98/427,287.67
  6. Step 6: Final answer
    x = 322,433.51

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1.5x scale

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.