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Finding the Fourth Proportional to 414,907, 572,537.62 and 233,560.96

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Solution

The fourth proportional to 414,907, 572,537.62 and 233,560.96 is: 322,294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,907 : 572,537.62 = 233,560.96 : x
  2. Step 2: Convert to fraction form
    414,907/572,537.62 = 233,560.96/x
  3. Step 3: Cross multiply
    414,907x = 572,537.62 × 233,560.96
  4. Step 4: Simplify right side
    414,907x = 133,722,436,163.32
  5. Step 5: Solve for x
    x = 133,722,436,163.32/414,907
  6. Step 6: Final answer
    x = 322,294.96

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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.