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Finding the Fourth Proportional to 365,801.20, 512,471.60 and 365,801.20

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Solution

The fourth proportional to 365,801.20, 512,471.60 and 365,801.20 is: 512,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,801.20 : 512,471.60 = 365,801.20 : x
  2. Step 2: Convert to fraction form
    365,801.20/512,471.60 = 365,801.20/x
  3. Step 3: Cross multiply
    365,801.20x = 512,471.60 × 365,801.20
  4. Step 4: Simplify right side
    365,801.20x = 187,462,726,245.92
  5. Step 5: Solve for x
    x = 187,462,726,245.92/365,801.20
  6. Step 6: Final answer
    x = 512,471.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.