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Finding the Fourth Proportional to 463,542.85, 695,422.11 and 143,677.75

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Solution

The fourth proportional to 463,542.85, 695,422.11 and 143,677.75 is: 215,550.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,542.85 : 695,422.11 = 143,677.75 : x
  2. Step 2: Convert to fraction form
    463,542.85/695,422.11 = 143,677.75/x
  3. Step 3: Cross multiply
    463,542.85x = 695,422.11 × 143,677.75
  4. Step 4: Simplify right side
    463,542.85x = 99,916,683,361.02
  5. Step 5: Solve for x
    x = 99,916,683,361.02/463,542.85
  6. Step 6: Final answer
    x = 215,550.05

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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.