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Finding the Fourth Proportional to 477,241.56, 715,862.34 and 196,751.52

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Solution

The fourth proportional to 477,241.56, 715,862.34 and 196,751.52 is: 295,127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,241.56 : 715,862.34 = 196,751.52 : x
  2. Step 2: Convert to fraction form
    477,241.56/715,862.34 = 196,751.52/x
  3. Step 3: Cross multiply
    477,241.56x = 715,862.34 × 196,751.52
  4. Step 4: Simplify right side
    477,241.56x = 140,847,003,505.76
  5. Step 5: Solve for x
    x = 140,847,003,505.76/477,241.56
  6. Step 6: Final answer
    x = 295,127.28

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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.