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Finding the Fourth Proportional to 414,377.12, 571,678.48 and 233,047.46

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Solution

The fourth proportional to 414,377.12, 571,678.48 and 233,047.46 is: 321,514.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,377.12 : 571,678.48 = 233,047.46 : x
  2. Step 2: Convert to fraction form
    414,377.12/571,678.48 = 233,047.46/x
  3. Step 3: Cross multiply
    414,377.12x = 571,678.48 × 233,047.46
  4. Step 4: Simplify right side
    414,377.12x = 133,228,217,700.66
  5. Step 5: Solve for x
    x = 133,228,217,700.66/414,377.12
  6. Step 6: Final answer
    x = 321,514.42

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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.