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Finding the Fourth Proportional to 314,020.60, 471,030.90 and 279,614.20

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Solution

The fourth proportional to 314,020.60, 471,030.90 and 279,614.20 is: 419,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,020.60 : 471,030.90 = 279,614.20 : x
  2. Step 2: Convert to fraction form
    314,020.60/471,030.90 = 279,614.20/x
  3. Step 3: Cross multiply
    314,020.60x = 471,030.90 × 279,614.20
  4. Step 4: Simplify right side
    314,020.60x = 131,706,928,278.78
  5. Step 5: Solve for x
    x = 131,706,928,278.78/314,020.60
  6. Step 6: Final answer
    x = 419,421.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.