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Finding the Fourth Proportional to 519,232.20, 778,929.32 and 164,212.44

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Solution

The fourth proportional to 519,232.20, 778,929.32 and 164,212.44 is: 246,344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,232.20 : 778,929.32 = 164,212.44 : x
  2. Step 2: Convert to fraction form
    519,232.20/778,929.32 = 164,212.44/x
  3. Step 3: Cross multiply
    519,232.20x = 778,929.32 × 164,212.44
  4. Step 4: Simplify right side
    519,232.20x = 127,909,884,224.74
  5. Step 5: Solve for x
    x = 127,909,884,224.74/519,232.20
  6. Step 6: Final answer
    x = 246,344.28

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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.