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Finding the Fourth Proportional to 683,950, 943,851.36 and 382,144

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Solution

The fourth proportional to 683,950, 943,851.36 and 382,144 is: 527,358.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,950 : 943,851.36 = 382,144 : x
  2. Step 2: Convert to fraction form
    683,950/943,851.36 = 382,144/x
  3. Step 3: Cross multiply
    683,950x = 943,851.36 × 382,144
  4. Step 4: Simplify right side
    683,950x = 360,687,134,115.84
  5. Step 5: Solve for x
    x = 360,687,134,115.84/683,950
  6. Step 6: Final answer
    x = 527,358.92

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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.