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Finding the Fourth Proportional to 519,054.22, 778,514.01 and 164,104.06

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Solution

The fourth proportional to 519,054.22, 778,514.01 and 164,104.06 is: 246,134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,054.22 : 778,514.01 = 164,104.06 : x
  2. Step 2: Convert to fraction form
    519,054.22/778,514.01 = 164,104.06/x
  3. Step 3: Cross multiply
    519,054.22x = 778,514.01 × 164,104.06
  4. Step 4: Simplify right side
    519,054.22x = 127,757,309,807.88
  5. Step 5: Solve for x
    x = 127,757,309,807.88/519,054.22
  6. Step 6: Final answer
    x = 246,134.81

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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.