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Finding the Fourth Proportional to 299,309.16, 448,963.68 and 199,663.94

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Solution

The fourth proportional to 299,309.16, 448,963.68 and 199,663.94 is: 299,495.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,309.16 : 448,963.68 = 199,663.94 : x
  2. Step 2: Convert to fraction form
    299,309.16/448,963.68 = 199,663.94/x
  3. Step 3: Cross multiply
    299,309.16x = 448,963.68 × 199,663.94
  4. Step 4: Simplify right side
    299,309.16x = 89,641,857,265.70
  5. Step 5: Solve for x
    x = 89,641,857,265.70/299,309.16
  6. Step 6: Final answer
    x = 299,495.87

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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.