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Finding the Fourth Proportional to 410,187.81, 566,059.27 and 226,426.48

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Solution

The fourth proportional to 410,187.81, 566,059.27 and 226,426.48 is: 312,468.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,187.81 : 566,059.27 = 226,426.48 : x
  2. Step 2: Convert to fraction form
    410,187.81/566,059.27 = 226,426.48/x
  3. Step 3: Cross multiply
    410,187.81x = 566,059.27 × 226,426.48
  4. Step 4: Simplify right side
    410,187.81x = 128,170,805,147.17
  5. Step 5: Solve for x
    x = 128,170,805,147.17/410,187.81
  6. Step 6: Final answer
    x = 312,468.59

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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.