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Finding the Fourth Proportional to 414,660.16, 572,249.45 and 233,383.85

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Solution

The fourth proportional to 414,660.16, 572,249.45 and 233,383.85 is: 322,080.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,660.16 : 572,249.45 = 233,383.85 : x
  2. Step 2: Convert to fraction form
    414,660.16/572,249.45 = 233,383.85/x
  3. Step 3: Cross multiply
    414,660.16x = 572,249.45 × 233,383.85
  4. Step 4: Simplify right side
    414,660.16x = 133,553,779,801.38
  5. Step 5: Solve for x
    x = 133,553,779,801.38/414,660.16
  6. Step 6: Final answer
    x = 322,080.09

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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.