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Finding the Fourth Proportional to 314,134.80, 471,202.20 and 308,950.80

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Solution

The fourth proportional to 314,134.80, 471,202.20 and 308,950.80 is: 463,426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,134.80 : 471,202.20 = 308,950.80 : x
  2. Step 2: Convert to fraction form
    314,134.80/471,202.20 = 308,950.80/x
  3. Step 3: Cross multiply
    314,134.80x = 471,202.20 × 308,950.80
  4. Step 4: Simplify right side
    314,134.80x = 145,578,296,651.76
  5. Step 5: Solve for x
    x = 145,578,296,651.76/314,134.80
  6. Step 6: Final answer
    x = 463,426.20

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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.