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Finding the Fourth Proportional to 414,266.47, 571,682.31 and 232,978.34

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Solution

The fourth proportional to 414,266.47, 571,682.31 and 232,978.34 is: 321,507.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,266.47 : 571,682.31 = 232,978.34 : x
  2. Step 2: Convert to fraction form
    414,266.47/571,682.31 = 232,978.34/x
  3. Step 3: Cross multiply
    414,266.47x = 571,682.31 × 232,978.34
  4. Step 4: Simplify right side
    414,266.47x = 133,189,596,146.70
  5. Step 5: Solve for x
    x = 133,189,596,146.70/414,266.47
  6. Step 6: Final answer
    x = 321,507.07

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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.