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Finding the Fourth Proportional to 414,549, 572,073.92 and 233,257.31

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Solution

The fourth proportional to 414,549, 572,073.92 and 233,257.31 is: 321,893.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,549 : 572,073.92 = 233,257.31 : x
  2. Step 2: Convert to fraction form
    414,549/572,073.92 = 233,257.31/x
  3. Step 3: Cross multiply
    414,549x = 572,073.92 × 233,257.31
  4. Step 4: Simplify right side
    414,549x = 133,440,419,673.70
  5. Step 5: Solve for x
    x = 133,440,419,673.70/414,549
  6. Step 6: Final answer
    x = 321,893.00

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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.