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Finding the Fourth Proportional to 538,508.28, 807,907.86 and 164,521.08

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Solution

The fourth proportional to 538,508.28, 807,907.86 and 164,521.08 is: 246,826.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,508.28 : 807,907.86 = 164,521.08 : x
  2. Step 2: Convert to fraction form
    538,508.28/807,907.86 = 164,521.08/x
  3. Step 3: Cross multiply
    538,508.28x = 807,907.86 × 164,521.08
  4. Step 4: Simplify right side
    538,508.28x = 132,917,873,667.69
  5. Step 5: Solve for x
    x = 132,917,873,667.69/538,508.28
  6. Step 6: Final answer
    x = 246,826.05

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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.