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Finding the Fourth Proportional to 522,521.63, 783,594.36 and 180,872.22

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Solution

The fourth proportional to 522,521.63, 783,594.36 and 180,872.22 is: 271,243.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,521.63 : 783,594.36 = 180,872.22 : x
  2. Step 2: Convert to fraction form
    522,521.63/783,594.36 = 180,872.22/x
  3. Step 3: Cross multiply
    522,521.63x = 783,594.36 × 180,872.22
  4. Step 4: Simplify right side
    522,521.63x = 141,730,451,472.68
  5. Step 5: Solve for x
    x = 141,730,451,472.68/522,521.63
  6. Step 6: Final answer
    x = 271,243.23

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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.