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Finding the Fourth Proportional to 307,870.70, 461,806.05 and 208,078.70

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Solution

The fourth proportional to 307,870.70, 461,806.05 and 208,078.70 is: 312,118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,870.70 : 461,806.05 = 208,078.70 : x
  2. Step 2: Convert to fraction form
    307,870.70/461,806.05 = 208,078.70/x
  3. Step 3: Cross multiply
    307,870.70x = 461,806.05 × 208,078.70
  4. Step 4: Simplify right side
    307,870.70x = 96,092,002,536.14
  5. Step 5: Solve for x
    x = 96,092,002,536.14/307,870.70
  6. Step 6: Final answer
    x = 312,118.05

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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.