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Finding the Fourth Proportional to 458,299.85, 686,529.62 and 233,651.21

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Solution

The fourth proportional to 458,299.85, 686,529.62 and 233,651.21 is: 350,007.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,299.85 : 686,529.62 = 233,651.21 : x
  2. Step 2: Convert to fraction form
    458,299.85/686,529.62 = 233,651.21/x
  3. Step 3: Cross multiply
    458,299.85x = 686,529.62 × 233,651.21
  4. Step 4: Simplify right side
    458,299.85x = 160,408,475,245.58
  5. Step 5: Solve for x
    x = 160,408,475,245.58/458,299.85
  6. Step 6: Final answer
    x = 350,007.70

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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.