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Finding the Fourth Proportional to 477,910.14, 716,761.20 and 157,986.42

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Solution

The fourth proportional to 477,910.14, 716,761.20 and 157,986.42 is: 236,945.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,910.14 : 716,761.20 = 157,986.42 : x
  2. Step 2: Convert to fraction form
    477,910.14/716,761.20 = 157,986.42/x
  3. Step 3: Cross multiply
    477,910.14x = 716,761.20 × 157,986.42
  4. Step 4: Simplify right side
    477,910.14x = 113,238,535,982.90
  5. Step 5: Solve for x
    x = 113,238,535,982.90/477,910.14
  6. Step 6: Final answer
    x = 236,945.25

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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.