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Finding the Fourth Proportional to 463,537.24, 695,414.34 and 143,672.39

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Solution

The fourth proportional to 463,537.24, 695,414.34 and 143,672.39 is: 215,542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,537.24 : 695,414.34 = 143,672.39 : x
  2. Step 2: Convert to fraction form
    463,537.24/695,414.34 = 143,672.39/x
  3. Step 3: Cross multiply
    463,537.24x = 695,414.34 × 143,672.39
  4. Step 4: Simplify right side
    463,537.24x = 99,911,840,268.07
  5. Step 5: Solve for x
    x = 99,911,840,268.07/463,537.24
  6. Step 6: Final answer
    x = 215,542.21

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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.