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Finding the Fourth Proportional to 483,401.10, 725,101.65 and 411,861.90

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Solution

The fourth proportional to 483,401.10, 725,101.65 and 411,861.90 is: 617,792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,401.10 : 725,101.65 = 411,861.90 : x
  2. Step 2: Convert to fraction form
    483,401.10/725,101.65 = 411,861.90/x
  3. Step 3: Cross multiply
    483,401.10x = 725,101.65 × 411,861.90
  4. Step 4: Simplify right side
    483,401.10x = 298,641,743,262.14
  5. Step 5: Solve for x
    x = 298,641,743,262.14/483,401.10
  6. Step 6: Final answer
    x = 617,792.85

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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.