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Finding the Fourth Proportional to 414,275.40, 571,633.62 and 232,986.77

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Solution

The fourth proportional to 414,275.40, 571,633.62 and 232,986.77 is: 321,484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,275.40 : 571,633.62 = 232,986.77 : x
  2. Step 2: Convert to fraction form
    414,275.40/571,633.62 = 232,986.77/x
  3. Step 3: Cross multiply
    414,275.40x = 571,633.62 × 232,986.77
  4. Step 4: Simplify right side
    414,275.40x = 133,183,070,469.52
  5. Step 5: Solve for x
    x = 133,183,070,469.52/414,275.40
  6. Step 6: Final answer
    x = 321,484.38

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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.