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Finding the Fourth Proportional to 411,441.34, 617,002.46 and 141,518.14

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Solution

The fourth proportional to 411,441.34, 617,002.46 and 141,518.14 is: 212,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,441.34 : 617,002.46 = 141,518.14 : x
  2. Step 2: Convert to fraction form
    411,441.34/617,002.46 = 141,518.14/x
  3. Step 3: Cross multiply
    411,441.34x = 617,002.46 × 141,518.14
  4. Step 4: Simplify right side
    411,441.34x = 87,317,040,514.62
  5. Step 5: Solve for x
    x = 87,317,040,514.62/411,441.34
  6. Step 6: Final answer
    x = 212,222.33

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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.