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Finding the Fourth Proportional to 414,665.31, 572,293.11 and 233,412.42

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Solution

The fourth proportional to 414,665.31, 572,293.11 and 233,412.42 is: 322,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,665.31 : 572,293.11 = 233,412.42 : x
  2. Step 2: Convert to fraction form
    414,665.31/572,293.11 = 233,412.42/x
  3. Step 3: Cross multiply
    414,665.31x = 572,293.11 × 233,412.42
  4. Step 4: Simplify right side
    414,665.31x = 133,580,319,754.43
  5. Step 5: Solve for x
    x = 133,580,319,754.43/414,665.31
  6. Step 6: Final answer
    x = 322,140.09

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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.