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Finding the Fourth Proportional to 307,559.80, 461,339.70 and 278,035.30

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Solution

The fourth proportional to 307,559.80, 461,339.70 and 278,035.30 is: 417,052.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,559.80 : 461,339.70 = 278,035.30 : x
  2. Step 2: Convert to fraction form
    307,559.80/461,339.70 = 278,035.30/x
  3. Step 3: Cross multiply
    307,559.80x = 461,339.70 × 278,035.30
  4. Step 4: Simplify right side
    307,559.80x = 128,268,721,891.41
  5. Step 5: Solve for x
    x = 128,268,721,891.41/307,559.80
  6. Step 6: Final answer
    x = 417,052.95

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Why These Related Problems?

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