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Finding the Fourth Proportional to 299,274.32, 448,982.76 and 112,287.44

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Solution

The fourth proportional to 299,274.32, 448,982.76 and 112,287.44 is: 168,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,274.32 : 448,982.76 = 112,287.44 : x
  2. Step 2: Convert to fraction form
    299,274.32/448,982.76 = 112,287.44/x
  3. Step 3: Cross multiply
    299,274.32x = 448,982.76 × 112,287.44
  4. Step 4: Simplify right side
    299,274.32x = 50,415,124,724.53
  5. Step 5: Solve for x
    x = 50,415,124,724.53/299,274.32
  6. Step 6: Final answer
    x = 168,457.90

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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.