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Finding the Fourth Proportional to 402,113.44, 602,993.04 and 188,942

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Solution

The fourth proportional to 402,113.44, 602,993.04 and 188,942 is: 283,329.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,113.44 : 602,993.04 = 188,942 : x
  2. Step 2: Convert to fraction form
    402,113.44/602,993.04 = 188,942/x
  3. Step 3: Cross multiply
    402,113.44x = 602,993.04 × 188,942
  4. Step 4: Simplify right side
    402,113.44x = 113,930,710,963.68
  5. Step 5: Solve for x
    x = 113,930,710,963.68/402,113.44
  6. Step 6: Final answer
    x = 283,329.78

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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.