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Finding the Fourth Proportional to 299,078.16, 448,714.44 and 199,642.56

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Solution

The fourth proportional to 299,078.16, 448,714.44 and 199,642.56 is: 299,528.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,078.16 : 448,714.44 = 199,642.56 : x
  2. Step 2: Convert to fraction form
    299,078.16/448,714.44 = 199,642.56/x
  3. Step 3: Cross multiply
    299,078.16x = 448,714.44 × 199,642.56
  4. Step 4: Simplify right side
    299,078.16x = 89,582,499,510.57
  5. Step 5: Solve for x
    x = 89,582,499,510.57/299,078.16
  6. Step 6: Final answer
    x = 299,528.72

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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.