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Finding the Fourth Proportional to 414,760.86, 572,380.68 and 233,479.32

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Solution

The fourth proportional to 414,760.86, 572,380.68 and 233,479.32 is: 322,207.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,760.86 : 572,380.68 = 233,479.32 : x
  2. Step 2: Convert to fraction form
    414,760.86/572,380.68 = 233,479.32/x
  3. Step 3: Cross multiply
    414,760.86x = 572,380.68 × 233,479.32
  4. Step 4: Simplify right side
    414,760.86x = 133,639,051,947.54
  5. Step 5: Solve for x
    x = 133,639,051,947.54/414,760.86
  6. Step 6: Final answer
    x = 322,207.48

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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.