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Finding the Fourth Proportional to 519,056.70, 778,512.15 and 164,106.60

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Solution

The fourth proportional to 519,056.70, 778,512.15 and 164,106.60 is: 246,136.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,056.70 : 778,512.15 = 164,106.60 : x
  2. Step 2: Convert to fraction form
    519,056.70/778,512.15 = 164,106.60/x
  3. Step 3: Cross multiply
    519,056.70x = 778,512.15 × 164,106.60
  4. Step 4: Simplify right side
    519,056.70x = 127,758,981,995.19
  5. Step 5: Solve for x
    x = 127,758,981,995.19/519,056.70
  6. Step 6: Final answer
    x = 246,136.85

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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.