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Finding the Fourth Proportional to 519,109.90, 778,519.05 and 164,232.70

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Solution

The fourth proportional to 519,109.90, 778,519.05 and 164,232.70 is: 246,302.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,109.90 : 778,519.05 = 164,232.70 : x
  2. Step 2: Convert to fraction form
    519,109.90/778,519.05 = 164,232.70/x
  3. Step 3: Cross multiply
    519,109.90x = 778,519.05 × 164,232.70
  4. Step 4: Simplify right side
    519,109.90x = 127,858,285,582.94
  5. Step 5: Solve for x
    x = 127,858,285,582.94/519,109.90
  6. Step 6: Final answer
    x = 246,302.92

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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.