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Finding the Fourth Proportional to 427,166.73, 589,471.42 and 233,570.79

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Solution

The fourth proportional to 427,166.73, 589,471.42 and 233,570.79 is: 322,317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,166.73 : 589,471.42 = 233,570.79 : x
  2. Step 2: Convert to fraction form
    427,166.73/589,471.42 = 233,570.79/x
  3. Step 3: Cross multiply
    427,166.73x = 589,471.42 × 233,570.79
  4. Step 4: Simplify right side
    427,166.73x = 137,683,305,251.82
  5. Step 5: Solve for x
    x = 137,683,305,251.82/427,166.73
  6. Step 6: Final answer
    x = 322,317.48

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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.