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Finding the Fourth Proportional to 522,842, 783,946.62 and 234,600.80

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Solution

The fourth proportional to 522,842, 783,946.62 and 234,600.80 is: 351,759.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,842 : 783,946.62 = 234,600.80 : x
  2. Step 2: Convert to fraction form
    522,842/783,946.62 = 234,600.80/x
  3. Step 3: Cross multiply
    522,842x = 783,946.62 × 234,600.80
  4. Step 4: Simplify right side
    522,842x = 183,914,504,209.30
  5. Step 5: Solve for x
    x = 183,914,504,209.30/522,842
  6. Step 6: Final answer
    x = 351,759.24

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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.