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Finding the Fourth Proportional to 442,484.49, 663,727.11 and 189,600.94

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Solution

The fourth proportional to 442,484.49, 663,727.11 and 189,600.94 is: 284,401.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,484.49 : 663,727.11 = 189,600.94 : x
  2. Step 2: Convert to fraction form
    442,484.49/663,727.11 = 189,600.94/x
  3. Step 3: Cross multiply
    442,484.49x = 663,727.11 × 189,600.94
  4. Step 4: Simplify right side
    442,484.49x = 125,843,283,959.48
  5. Step 5: Solve for x
    x = 125,843,283,959.48/442,484.49
  6. Step 6: Final answer
    x = 284,401.57

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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.