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Finding the Fourth Proportional to 414,267.98, 571,684.38 and 232,979.85

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Solution

The fourth proportional to 414,267.98, 571,684.38 and 232,979.85 is: 321,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,267.98 : 571,684.38 = 232,979.85 : x
  2. Step 2: Convert to fraction form
    414,267.98/571,684.38 = 232,979.85/x
  3. Step 3: Cross multiply
    414,267.98x = 571,684.38 × 232,979.85
  4. Step 4: Simplify right side
    414,267.98x = 133,190,941,099.74
  5. Step 5: Solve for x
    x = 133,190,941,099.74/414,267.98
  6. Step 6: Final answer
    x = 321,509.14

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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.