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Finding the Fourth Proportional to 513,464.60, 768,123.30 and 444,114.20

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Solution

The fourth proportional to 513,464.60, 768,123.30 and 444,114.20 is: 664,377.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,464.60 : 768,123.30 = 444,114.20 : x
  2. Step 2: Convert to fraction form
    513,464.60/768,123.30 = 444,114.20/x
  3. Step 3: Cross multiply
    513,464.60x = 768,123.30 × 444,114.20
  4. Step 4: Simplify right side
    513,464.60x = 341,134,464,880.86
  5. Step 5: Solve for x
    x = 341,134,464,880.86/513,464.60
  6. Step 6: Final answer
    x = 664,377.77

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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.