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Finding the Fourth Proportional to 313,834.02, 472,458.67 and 285,933.30

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Solution

The fourth proportional to 313,834.02, 472,458.67 and 285,933.30 is: 430,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,834.02 : 472,458.67 = 285,933.30 : x
  2. Step 2: Convert to fraction form
    313,834.02/472,458.67 = 285,933.30/x
  3. Step 3: Cross multiply
    313,834.02x = 472,458.67 × 285,933.30
  4. Step 4: Simplify right side
    313,834.02x = 135,091,666,626.71
  5. Step 5: Solve for x
    x = 135,091,666,626.71/313,834.02
  6. Step 6: Final answer
    x = 430,455.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.