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Finding the Fourth Proportional to 333,414.08, 500,121.28 and 146,427.20

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Solution

The fourth proportional to 333,414.08, 500,121.28 and 146,427.20 is: 219,640.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,414.08 : 500,121.28 = 146,427.20 : x
  2. Step 2: Convert to fraction form
    333,414.08/500,121.28 = 146,427.20/x
  3. Step 3: Cross multiply
    333,414.08x = 500,121.28 × 146,427.20
  4. Step 4: Simplify right side
    333,414.08x = 73,231,358,690.82
  5. Step 5: Solve for x
    x = 73,231,358,690.82/333,414.08
  6. Step 6: Final answer
    x = 219,640.87

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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.