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Finding the Fourth Proportional to 522,223.71, 783,175.91 and 361,153.32

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Solution

The fourth proportional to 522,223.71, 783,175.91 and 361,153.32 is: 541,619.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,223.71 : 783,175.91 = 361,153.32 : x
  2. Step 2: Convert to fraction form
    522,223.71/783,175.91 = 361,153.32/x
  3. Step 3: Cross multiply
    522,223.71x = 783,175.91 × 361,153.32
  4. Step 4: Simplify right side
    522,223.71x = 282,846,575,297.85
  5. Step 5: Solve for x
    x = 282,846,575,297.85/522,223.71
  6. Step 6: Final answer
    x = 541,619.56

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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.