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Finding the Fourth Proportional to 410,744.05, 566,806.52 and 229,419.88

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Solution

The fourth proportional to 410,744.05, 566,806.52 and 229,419.88 is: 316,588.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,744.05 : 566,806.52 = 229,419.88 : x
  2. Step 2: Convert to fraction form
    410,744.05/566,806.52 = 229,419.88/x
  3. Step 3: Cross multiply
    410,744.05x = 566,806.52 × 229,419.88
  4. Step 4: Simplify right side
    410,744.05x = 130,036,682,958.15
  5. Step 5: Solve for x
    x = 130,036,682,958.15/410,744.05
  6. Step 6: Final answer
    x = 316,588.11

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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.