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Finding the Fourth Proportional to 348,462.24, 522,468.72 and 148,912.80

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Solution

The fourth proportional to 348,462.24, 522,468.72 and 148,912.80 is: 223,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,462.24 : 522,468.72 = 148,912.80 : x
  2. Step 2: Convert to fraction form
    348,462.24/522,468.72 = 148,912.80/x
  3. Step 3: Cross multiply
    348,462.24x = 522,468.72 × 148,912.80
  4. Step 4: Simplify right side
    348,462.24x = 77,802,280,007.62
  5. Step 5: Solve for x
    x = 77,802,280,007.62/348,462.24
  6. Step 6: Final answer
    x = 223,273.20

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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.