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Finding the Fourth Proportional to 289,950.52, 400,311.16 and 193,290.52

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Solution

The fourth proportional to 289,950.52, 400,311.16 and 193,290.52 is: 266,860.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,950.52 : 400,311.16 = 193,290.52 : x
  2. Step 2: Convert to fraction form
    289,950.52/400,311.16 = 193,290.52/x
  3. Step 3: Cross multiply
    289,950.52x = 400,311.16 × 193,290.52
  4. Step 4: Simplify right side
    289,950.52x = 77,376,352,278.20
  5. Step 5: Solve for x
    x = 77,376,352,278.20/289,950.52
  6. Step 6: Final answer
    x = 266,860.54

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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.