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Finding the Fourth Proportional to 537,198.14, 741,438.70 and 307,909.08

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Solution

The fourth proportional to 537,198.14, 741,438.70 and 307,909.08 is: 424,974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,198.14 : 741,438.70 = 307,909.08 : x
  2. Step 2: Convert to fraction form
    537,198.14/741,438.70 = 307,909.08/x
  3. Step 3: Cross multiply
    537,198.14x = 741,438.70 × 307,909.08
  4. Step 4: Simplify right side
    537,198.14x = 228,295,707,223.62
  5. Step 5: Solve for x
    x = 228,295,707,223.62/537,198.14
  6. Step 6: Final answer
    x = 424,974.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.