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Finding the Fourth Proportional to 519,057.22, 778,518.50 and 164,107.06

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Solution

The fourth proportional to 519,057.22, 778,518.50 and 164,107.06 is: 246,139.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,057.22 : 778,518.50 = 164,107.06 : x
  2. Step 2: Convert to fraction form
    519,057.22/778,518.50 = 164,107.06/x
  3. Step 3: Cross multiply
    519,057.22x = 778,518.50 × 164,107.06
  4. Step 4: Simplify right side
    519,057.22x = 127,760,382,190.61
  5. Step 5: Solve for x
    x = 127,760,382,190.61/519,057.22
  6. Step 6: Final answer
    x = 246,139.30

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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.