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Finding the Fourth Proportional to 459,378.60, 687,123.90 and 412,333.80

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Solution

The fourth proportional to 459,378.60, 687,123.90 and 412,333.80 is: 616,755.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,378.60 : 687,123.90 = 412,333.80 : x
  2. Step 2: Convert to fraction form
    459,378.60/687,123.90 = 412,333.80/x
  3. Step 3: Cross multiply
    459,378.60x = 687,123.90 × 412,333.80
  4. Step 4: Simplify right side
    459,378.60x = 283,324,408,757.82
  5. Step 5: Solve for x
    x = 283,324,408,757.82/459,378.60
  6. Step 6: Final answer
    x = 616,755.78

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1.5x scale

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.