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Finding the Fourth Proportional to 463,670.20, 694,849.20 and 407,245.60

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Solution

The fourth proportional to 463,670.20, 694,849.20 and 407,245.60 is: 610,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,670.20 : 694,849.20 = 407,245.60 : x
  2. Step 2: Convert to fraction form
    463,670.20/694,849.20 = 407,245.60/x
  3. Step 3: Cross multiply
    463,670.20x = 694,849.20 × 407,245.60
  4. Step 4: Simplify right side
    463,670.20x = 282,974,279,363.52
  5. Step 5: Solve for x
    x = 282,974,279,363.52/463,670.20
  6. Step 6: Final answer
    x = 610,292.14

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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.