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Finding the Fourth Proportional to 333,471.96, 500,215.37 and 120,257.08

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Solution

The fourth proportional to 333,471.96, 500,215.37 and 120,257.08 is: 180,388.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,471.96 : 500,215.37 = 120,257.08 : x
  2. Step 2: Convert to fraction form
    333,471.96/500,215.37 = 120,257.08/x
  3. Step 3: Cross multiply
    333,471.96x = 500,215.37 × 120,257.08
  4. Step 4: Simplify right side
    333,471.96x = 60,154,437,915.50
  5. Step 5: Solve for x
    x = 60,154,437,915.50/333,471.96
  6. Step 6: Final answer
    x = 180,388.29

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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.