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Finding the Fourth Proportional to 538,507.78, 807,907.11 and 164,520.58

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Solution

The fourth proportional to 538,507.78, 807,907.11 and 164,520.58 is: 246,825.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,507.78 : 807,907.11 = 164,520.58 : x
  2. Step 2: Convert to fraction form
    538,507.78/807,907.11 = 164,520.58/x
  3. Step 3: Cross multiply
    538,507.78x = 807,907.11 × 164,520.58
  4. Step 4: Simplify right side
    538,507.78x = 132,917,346,323.32
  5. Step 5: Solve for x
    x = 132,917,346,323.32/538,507.78
  6. Step 6: Final answer
    x = 246,825.30

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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.