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Finding the Fourth Proportional to 476,874.47, 715,200.72 and 177,496.04

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Solution

The fourth proportional to 476,874.47, 715,200.72 and 177,496.04 is: 266,202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,874.47 : 715,200.72 = 177,496.04 : x
  2. Step 2: Convert to fraction form
    476,874.47/715,200.72 = 177,496.04/x
  3. Step 3: Cross multiply
    476,874.47x = 715,200.72 × 177,496.04
  4. Step 4: Simplify right side
    476,874.47x = 126,945,295,605.15
  5. Step 5: Solve for x
    x = 126,945,295,605.15/476,874.47
  6. Step 6: Final answer
    x = 266,202.75

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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.