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Finding the Fourth Proportional to 410,242.89, 566,163.61 and 228,990.14

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Solution

The fourth proportional to 410,242.89, 566,163.61 and 228,990.14 is: 316,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,242.89 : 566,163.61 = 228,990.14 : x
  2. Step 2: Convert to fraction form
    410,242.89/566,163.61 = 228,990.14/x
  3. Step 3: Cross multiply
    410,242.89x = 566,163.61 × 228,990.14
  4. Step 4: Simplify right side
    410,242.89x = 129,645,883,036.63
  5. Step 5: Solve for x
    x = 129,645,883,036.63/410,242.89
  6. Step 6: Final answer
    x = 316,022.25

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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.