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Finding the Fourth Proportional to 522,084.92, 783,014.60 and 185,136.56

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Solution

The fourth proportional to 522,084.92, 783,014.60 and 185,136.56 is: 277,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,084.92 : 783,014.60 = 185,136.56 : x
  2. Step 2: Convert to fraction form
    522,084.92/783,014.60 = 185,136.56/x
  3. Step 3: Cross multiply
    522,084.92x = 783,014.60 × 185,136.56
  4. Step 4: Simplify right side
    522,084.92x = 144,964,628,548.09
  5. Step 5: Solve for x
    x = 144,964,628,548.09/522,084.92
  6. Step 6: Final answer
    x = 277,664.85

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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.