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Finding the Fourth Proportional to 477,104.08, 715,743.60 and 196,468.24

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Solution

The fourth proportional to 477,104.08, 715,743.60 and 196,468.24 is: 294,738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,104.08 : 715,743.60 = 196,468.24 : x
  2. Step 2: Convert to fraction form
    477,104.08/715,743.60 = 196,468.24/x
  3. Step 3: Cross multiply
    477,104.08x = 715,743.60 × 196,468.24
  4. Step 4: Simplify right side
    477,104.08x = 140,620,885,383.26
  5. Step 5: Solve for x
    x = 140,620,885,383.26/477,104.08
  6. Step 6: Final answer
    x = 294,738.38

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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.