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Finding the Fourth Proportional to 519,325.43, 778,910.18 and 164,293.31

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Solution

The fourth proportional to 519,325.43, 778,910.18 and 164,293.31 is: 246,415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,325.43 : 778,910.18 = 164,293.31 : x
  2. Step 2: Convert to fraction form
    519,325.43/778,910.18 = 164,293.31/x
  3. Step 3: Cross multiply
    519,325.43x = 778,910.18 × 164,293.31
  4. Step 4: Simplify right side
    519,325.43x = 127,969,732,790.71
  5. Step 5: Solve for x
    x = 127,969,732,790.71/519,325.43
  6. Step 6: Final answer
    x = 246,415.30

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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.