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Finding the Fourth Proportional to 414,758.66, 572,357.53 and 230,995.98

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Solution

The fourth proportional to 414,758.66, 572,357.53 and 230,995.98 is: 318,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,758.66 : 572,357.53 = 230,995.98 : x
  2. Step 2: Convert to fraction form
    414,758.66/572,357.53 = 230,995.98/x
  3. Step 3: Cross multiply
    414,758.66x = 572,357.53 × 230,995.98
  4. Step 4: Simplify right side
    414,758.66x = 132,212,288,552.73
  5. Step 5: Solve for x
    x = 132,212,288,552.73/414,758.66
  6. Step 6: Final answer
    x = 318,769.21

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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.