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Finding the Fourth Proportional to 299,077.16, 448,712.94 and 199,641.56

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Solution

The fourth proportional to 299,077.16, 448,712.94 and 199,641.56 is: 299,527.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,077.16 : 448,712.94 = 199,641.56 : x
  2. Step 2: Convert to fraction form
    299,077.16/448,712.94 = 199,641.56/x
  3. Step 3: Cross multiply
    299,077.16x = 448,712.94 × 199,641.56
  4. Step 4: Simplify right side
    299,077.16x = 89,581,751,333.79
  5. Step 5: Solve for x
    x = 89,581,751,333.79/299,077.16
  6. Step 6: Final answer
    x = 299,527.22

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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.