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Finding the Fourth Proportional to 333,514.38, 500,285.49 and 96,857.10

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Solution

The fourth proportional to 333,514.38, 500,285.49 and 96,857.10 is: 145,289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,514.38 : 500,285.49 = 96,857.10 : x
  2. Step 2: Convert to fraction form
    333,514.38/500,285.49 = 96,857.10/x
  3. Step 3: Cross multiply
    333,514.38x = 500,285.49 × 96,857.10
  4. Step 4: Simplify right side
    333,514.38x = 48,456,201,733.48
  5. Step 5: Solve for x
    x = 48,456,201,733.48/333,514.38
  6. Step 6: Final answer
    x = 145,289.69

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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.