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Finding the Fourth Proportional to 477,694.87, 716,523.77 and 178,174.89

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Solution

The fourth proportional to 477,694.87, 716,523.77 and 178,174.89 is: 267,255.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,694.87 : 716,523.77 = 178,174.89 : x
  2. Step 2: Convert to fraction form
    477,694.87/716,523.77 = 178,174.89/x
  3. Step 3: Cross multiply
    477,694.87x = 716,523.77 × 178,174.89
  4. Step 4: Simplify right side
    477,694.87x = 127,666,544,347.57
  5. Step 5: Solve for x
    x = 127,666,544,347.57/477,694.87
  6. Step 6: Final answer
    x = 267,255.42

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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.