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Finding the Fourth Proportional to 463,616.53, 695,524.27 and 143,761.54

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Solution

The fourth proportional to 463,616.53, 695,524.27 and 143,761.54 is: 215,673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,616.53 : 695,524.27 = 143,761.54 : x
  2. Step 2: Convert to fraction form
    463,616.53/695,524.27 = 143,761.54/x
  3. Step 3: Cross multiply
    463,616.53x = 695,524.27 × 143,761.54
  4. Step 4: Simplify right side
    463,616.53x = 99,989,638,826.91
  5. Step 5: Solve for x
    x = 99,989,638,826.91/463,616.53
  6. Step 6: Final answer
    x = 215,673.15

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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.