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Finding the Fourth Proportional to 462,605.44, 694,065.76 and 249,394

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Solution

The fourth proportional to 462,605.44, 694,065.76 and 249,394 is: 374,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,605.44 : 694,065.76 = 249,394 : x
  2. Step 2: Convert to fraction form
    462,605.44/694,065.76 = 249,394/x
  3. Step 3: Cross multiply
    462,605.44x = 694,065.76 × 249,394
  4. Step 4: Simplify right side
    462,605.44x = 173,095,836,149.44
  5. Step 5: Solve for x
    x = 173,095,836,149.44/462,605.44
  6. Step 6: Final answer
    x = 374,175.96

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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.