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Finding the Fourth Proportional to 410,743.22, 566,805.41 and 229,419.05

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Solution

The fourth proportional to 410,743.22, 566,805.41 and 229,419.05 is: 316,586.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,743.22 : 566,805.41 = 229,419.05 : x
  2. Step 2: Convert to fraction form
    410,743.22/566,805.41 = 229,419.05/x
  3. Step 3: Cross multiply
    410,743.22x = 566,805.41 × 229,419.05
  4. Step 4: Simplify right side
    410,743.22x = 130,035,958,697.06
  5. Step 5: Solve for x
    x = 130,035,958,697.06/410,743.22
  6. Step 6: Final answer
    x = 316,586.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.