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Finding the Fourth Proportional to 509,948.03, 703,193.97 and 380,679.17

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Solution

The fourth proportional to 509,948.03, 703,193.97 and 380,679.17 is: 524,938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,948.03 : 703,193.97 = 380,679.17 : x
  2. Step 2: Convert to fraction form
    509,948.03/703,193.97 = 380,679.17/x
  3. Step 3: Cross multiply
    509,948.03x = 703,193.97 × 380,679.17
  4. Step 4: Simplify right side
    509,948.03x = 267,691,295,131.93
  5. Step 5: Solve for x
    x = 267,691,295,131.93/509,948.03
  6. Step 6: Final answer
    x = 524,938.38

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Why These Related Problems?

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