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Finding the Fourth Proportional to 427,146.48, 589,443.48 and 233,550.54

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Solution

The fourth proportional to 427,146.48, 589,443.48 and 233,550.54 is: 322,289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,146.48 : 589,443.48 = 233,550.54 : x
  2. Step 2: Convert to fraction form
    427,146.48/589,443.48 = 233,550.54/x
  3. Step 3: Cross multiply
    427,146.48x = 589,443.48 × 233,550.54
  4. Step 4: Simplify right side
    427,146.48x = 137,664,843,053.48
  5. Step 5: Solve for x
    x = 137,664,843,053.48/427,146.48
  6. Step 6: Final answer
    x = 322,289.54

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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.