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Finding the Fourth Proportional to 463,944.48, 696,027.24 and 164,451.20

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Solution

The fourth proportional to 463,944.48, 696,027.24 and 164,451.20 is: 246,715.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,944.48 : 696,027.24 = 164,451.20 : x
  2. Step 2: Convert to fraction form
    463,944.48/696,027.24 = 164,451.20/x
  3. Step 3: Cross multiply
    463,944.48x = 696,027.24 × 164,451.20
  4. Step 4: Simplify right side
    463,944.48x = 114,462,514,850.69
  5. Step 5: Solve for x
    x = 114,462,514,850.69/463,944.48
  6. Step 6: Final answer
    x = 246,715.98

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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.