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Finding the Fourth Proportional to 463,755.96, 695,733.54 and 143,901.24

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Solution

The fourth proportional to 463,755.96, 695,733.54 and 143,901.24 is: 215,882.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,755.96 : 695,733.54 = 143,901.24 : x
  2. Step 2: Convert to fraction form
    463,755.96/695,733.54 = 143,901.24/x
  3. Step 3: Cross multiply
    463,755.96x = 695,733.54 × 143,901.24
  4. Step 4: Simplify right side
    463,755.96x = 100,116,919,115.59
  5. Step 5: Solve for x
    x = 100,116,919,115.59/463,755.96
  6. Step 6: Final answer
    x = 215,882.77

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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.