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Finding the Fourth Proportional to 471,890.56, 707,428.80 and 222,398.08

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Solution

The fourth proportional to 471,890.56, 707,428.80 and 222,398.08 is: 333,405.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,890.56 : 707,428.80 = 222,398.08 : x
  2. Step 2: Convert to fraction form
    471,890.56/707,428.80 = 222,398.08/x
  3. Step 3: Cross multiply
    471,890.56x = 707,428.80 × 222,398.08
  4. Step 4: Simplify right side
    471,890.56x = 157,330,806,856.70
  5. Step 5: Solve for x
    x = 157,330,806,856.70/471,890.56
  6. Step 6: Final answer
    x = 333,405.29

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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.