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Finding the Fourth Proportional to 469,491.84, 704,230.08 and 189,001.92

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Solution

The fourth proportional to 469,491.84, 704,230.08 and 189,001.92 is: 283,499.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,491.84 : 704,230.08 = 189,001.92 : x
  2. Step 2: Convert to fraction form
    469,491.84/704,230.08 = 189,001.92/x
  3. Step 3: Cross multiply
    469,491.84x = 704,230.08 × 189,001.92
  4. Step 4: Simplify right side
    469,491.84x = 133,100,837,241.75
  5. Step 5: Solve for x
    x = 133,100,837,241.75/469,491.84
  6. Step 6: Final answer
    x = 283,499.79

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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.