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Finding the Fourth Proportional to 476,705, 715,057.50 and 177,260.96

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Solution

The fourth proportional to 476,705, 715,057.50 and 177,260.96 is: 265,891.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,705 : 715,057.50 = 177,260.96 : x
  2. Step 2: Convert to fraction form
    476,705/715,057.50 = 177,260.96/x
  3. Step 3: Cross multiply
    476,705x = 715,057.50 × 177,260.96
  4. Step 4: Simplify right side
    476,705x = 126,751,778,905.20
  5. Step 5: Solve for x
    x = 126,751,778,905.20/476,705
  6. Step 6: Final answer
    x = 265,891.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.