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Finding the Fourth Proportional to 522,843, 783,948.12 and 234,601.80

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Solution

The fourth proportional to 522,843, 783,948.12 and 234,601.80 is: 351,760.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,843 : 783,948.12 = 234,601.80 : x
  2. Step 2: Convert to fraction form
    522,843/783,948.12 = 234,601.80/x
  3. Step 3: Cross multiply
    522,843x = 783,948.12 × 234,601.80
  4. Step 4: Simplify right side
    522,843x = 183,915,640,058.62
  5. Step 5: Solve for x
    x = 183,915,640,058.62/522,843
  6. Step 6: Final answer
    x = 351,760.74

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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.