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Finding the Fourth Proportional to 411,325.46, 617,001.84 and 141,450.95

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Solution

The fourth proportional to 411,325.46, 617,001.84 and 141,450.95 is: 212,181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,325.46 : 617,001.84 = 141,450.95 : x
  2. Step 2: Convert to fraction form
    411,325.46/617,001.84 = 141,450.95/x
  3. Step 3: Cross multiply
    411,325.46x = 617,001.84 × 141,450.95
  4. Step 4: Simplify right side
    411,325.46x = 87,275,496,419.75
  5. Step 5: Solve for x
    x = 87,275,496,419.75/411,325.46
  6. Step 6: Final answer
    x = 212,181.12

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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.