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Finding the Fourth Proportional to 414,247.14, 571,655.60 and 232,959.02

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Solution

The fourth proportional to 414,247.14, 571,655.60 and 232,959.02 is: 321,480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,247.14 : 571,655.60 = 232,959.02 : x
  2. Step 2: Convert to fraction form
    414,247.14/571,655.60 = 232,959.02/x
  3. Step 3: Cross multiply
    414,247.14x = 571,655.60 × 232,959.02
  4. Step 4: Simplify right side
    414,247.14x = 133,172,328,353.51
  5. Step 5: Solve for x
    x = 133,172,328,353.51/414,247.14
  6. Step 6: Final answer
    x = 321,480.38

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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.