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Finding the Fourth Proportional to 488,950.97, 733,002.48 and 189,225.23

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Solution

The fourth proportional to 488,950.97, 733,002.48 and 189,225.23 is: 283,673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,950.97 : 733,002.48 = 189,225.23 : x
  2. Step 2: Convert to fraction form
    488,950.97/733,002.48 = 189,225.23/x
  3. Step 3: Cross multiply
    488,950.97x = 733,002.48 × 189,225.23
  4. Step 4: Simplify right side
    488,950.97x = 138,702,559,203.56
  5. Step 5: Solve for x
    x = 138,702,559,203.56/488,950.97
  6. Step 6: Final answer
    x = 283,673.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.