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Finding the Fourth Proportional to 323,816.74, 485,832.64 and 143,877.13

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Solution

The fourth proportional to 323,816.74, 485,832.64 and 143,877.13 is: 215,863.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,816.74 : 485,832.64 = 143,877.13 : x
  2. Step 2: Convert to fraction form
    323,816.74/485,832.64 = 143,877.13/x
  3. Step 3: Cross multiply
    323,816.74x = 485,832.64 × 143,877.13
  4. Step 4: Simplify right side
    323,816.74x = 69,900,205,903.52
  5. Step 5: Solve for x
    x = 69,900,205,903.52/323,816.74
  6. Step 6: Final answer
    x = 215,863.47

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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.