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Finding the Fourth Proportional to 513,457.60, 768,112.80 and 444,107.20

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Solution

The fourth proportional to 513,457.60, 768,112.80 and 444,107.20 is: 664,367.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,457.60 : 768,112.80 = 444,107.20 : x
  2. Step 2: Convert to fraction form
    513,457.60/768,112.80 = 444,107.20/x
  3. Step 3: Cross multiply
    513,457.60x = 768,112.80 × 444,107.20
  4. Step 4: Simplify right side
    513,457.60x = 341,124,424,892.16
  5. Step 5: Solve for x
    x = 341,124,424,892.16/513,457.60
  6. Step 6: Final answer
    x = 664,367.27

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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.