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Finding the Fourth Proportional to 307,784.57, 462,488.67 and 165,734.87

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Solution

The fourth proportional to 307,784.57, 462,488.67 and 165,734.87 is: 249,039.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,784.57 : 462,488.67 = 165,734.87 : x
  2. Step 2: Convert to fraction form
    307,784.57/462,488.67 = 165,734.87/x
  3. Step 3: Cross multiply
    307,784.57x = 462,488.67 × 165,734.87
  4. Step 4: Simplify right side
    307,784.57x = 76,650,497,286.48
  5. Step 5: Solve for x
    x = 76,650,497,286.48/307,784.57
  6. Step 6: Final answer
    x = 249,039.45

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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.