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Finding the Fourth Proportional to 463,832.76, 695,848.44 and 143,977.61

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Solution

The fourth proportional to 463,832.76, 695,848.44 and 143,977.61 is: 215,997.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,832.76 : 695,848.44 = 143,977.61 : x
  2. Step 2: Convert to fraction form
    463,832.76/695,848.44 = 143,977.61/x
  3. Step 3: Cross multiply
    463,832.76x = 695,848.44 × 143,977.61
  4. Step 4: Simplify right side
    463,832.76x = 100,186,591,834.19
  5. Step 5: Solve for x
    x = 100,186,591,834.19/463,832.76
  6. Step 6: Final answer
    x = 215,997.23

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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.