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Finding the Fourth Proportional to 410,229.33, 566,173.54 and 228,952.94

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Solution

The fourth proportional to 410,229.33, 566,173.54 and 228,952.94 is: 315,986.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,229.33 : 566,173.54 = 228,952.94 : x
  2. Step 2: Convert to fraction form
    410,229.33/566,173.54 = 228,952.94/x
  3. Step 3: Cross multiply
    410,229.33x = 566,173.54 × 228,952.94
  4. Step 4: Simplify right side
    410,229.33x = 129,627,097,173.26
  5. Step 5: Solve for x
    x = 129,627,097,173.26/410,229.33
  6. Step 6: Final answer
    x = 315,986.91

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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.