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Finding the Fourth Proportional to 476,872.15, 715,197.26 and 177,493.72

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Solution

The fourth proportional to 476,872.15, 715,197.26 and 177,493.72 is: 266,199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,872.15 : 715,197.26 = 177,493.72 : x
  2. Step 2: Convert to fraction form
    476,872.15/715,197.26 = 177,493.72/x
  3. Step 3: Cross multiply
    476,872.15x = 715,197.26 × 177,493.72
  4. Step 4: Simplify right side
    476,872.15x = 126,943,022,217.74
  5. Step 5: Solve for x
    x = 126,943,022,217.74/476,872.15
  6. Step 6: Final answer
    x = 266,199.28

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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.