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Finding the Fourth Proportional to 463,809.60, 694,658.16 and 276,433.92

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Solution

The fourth proportional to 463,809.60, 694,658.16 and 276,433.92 is: 414,021.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,809.60 : 694,658.16 = 276,433.92 : x
  2. Step 2: Convert to fraction form
    463,809.60/694,658.16 = 276,433.92/x
  3. Step 3: Cross multiply
    463,809.60x = 694,658.16 × 276,433.92
  4. Step 4: Simplify right side
    463,809.60x = 192,027,078,228.79
  5. Step 5: Solve for x
    x = 192,027,078,228.79/463,809.60
  6. Step 6: Final answer
    x = 414,021.35

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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.