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Finding the Fourth Proportional to 522,666.40, 783,193.20 and 388,919.20

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Solution

The fourth proportional to 522,666.40, 783,193.20 and 388,919.20 is: 582,778.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,666.40 : 783,193.20 = 388,919.20 : x
  2. Step 2: Convert to fraction form
    522,666.40/783,193.20 = 388,919.20/x
  3. Step 3: Cross multiply
    522,666.40x = 783,193.20 × 388,919.20
  4. Step 4: Simplify right side
    522,666.40x = 304,598,872,789.44
  5. Step 5: Solve for x
    x = 304,598,872,789.44/522,666.40
  6. Step 6: Final answer
    x = 582,778.75

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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.