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Finding the Fourth Proportional to 414,600.32, 572,159.49 and 233,318.72

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Solution

The fourth proportional to 414,600.32, 572,159.49 and 233,318.72 is: 321,986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,600.32 : 572,159.49 = 233,318.72 : x
  2. Step 2: Convert to fraction form
    414,600.32/572,159.49 = 233,318.72/x
  3. Step 3: Cross multiply
    414,600.32x = 572,159.49 × 233,318.72
  4. Step 4: Simplify right side
    414,600.32x = 133,495,519,842.65
  5. Step 5: Solve for x
    x = 133,495,519,842.65/414,600.32
  6. Step 6: Final answer
    x = 321,986.05

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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.