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Finding the Fourth Proportional to 476,706, 715,059 and 177,261.96

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Solution

The fourth proportional to 476,706, 715,059 and 177,261.96 is: 265,892.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,706 : 715,059 = 177,261.96 : x
  2. Step 2: Convert to fraction form
    476,706/715,059 = 177,261.96/x
  3. Step 3: Cross multiply
    476,706x = 715,059 × 177,261.96
  4. Step 4: Simplify right side
    476,706x = 126,752,759,855.64
  5. Step 5: Solve for x
    x = 126,752,759,855.64/476,706
  6. Step 6: Final answer
    x = 265,892.94

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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.