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Finding the Fourth Proportional to 333,560.31, 500,457.91 and 221,684.73

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Solution

The fourth proportional to 333,560.31, 500,457.91 and 221,684.73 is: 332,605.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,560.31 : 500,457.91 = 221,684.73 : x
  2. Step 2: Convert to fraction form
    333,560.31/500,457.91 = 221,684.73/x
  3. Step 3: Cross multiply
    333,560.31x = 500,457.91 × 221,684.73
  4. Step 4: Simplify right side
    333,560.31x = 110,943,876,654.71
  5. Step 5: Solve for x
    x = 110,943,876,654.71/333,560.31
  6. Step 6: Final answer
    x = 332,605.15

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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.