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Finding the Fourth Proportional to 299,117.34, 448,578.96 and 99,384.11

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Solution

The fourth proportional to 299,117.34, 448,578.96 and 99,384.11 is: 149,043.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,117.34 : 448,578.96 = 99,384.11 : x
  2. Step 2: Convert to fraction form
    299,117.34/448,578.96 = 99,384.11/x
  3. Step 3: Cross multiply
    299,117.34x = 448,578.96 × 99,384.11
  4. Step 4: Simplify right side
    299,117.34x = 44,581,618,461.43
  5. Step 5: Solve for x
    x = 44,581,618,461.43/299,117.34
  6. Step 6: Final answer
    x = 149,043.91

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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.