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Finding the Fourth Proportional to 471,524.76, 707,028.66 and 186,927

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Solution

The fourth proportional to 471,524.76, 707,028.66 and 186,927 is: 280,288.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,524.76 : 707,028.66 = 186,927 : x
  2. Step 2: Convert to fraction form
    471,524.76/707,028.66 = 186,927/x
  3. Step 3: Cross multiply
    471,524.76x = 707,028.66 × 186,927
  4. Step 4: Simplify right side
    471,524.76x = 132,162,746,327.82
  5. Step 5: Solve for x
    x = 132,162,746,327.82/471,524.76
  6. Step 6: Final answer
    x = 280,288.03

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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.