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Finding the Fourth Proportional to 507,668.80, 761,249.66 and 166,067.63

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Solution

The fourth proportional to 507,668.80, 761,249.66 and 166,067.63 is: 249,018.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,668.80 : 761,249.66 = 166,067.63 : x
  2. Step 2: Convert to fraction form
    507,668.80/761,249.66 = 166,067.63/x
  3. Step 3: Cross multiply
    507,668.80x = 761,249.66 × 166,067.63
  4. Step 4: Simplify right side
    507,668.80x = 126,418,927,947.29
  5. Step 5: Solve for x
    x = 126,418,927,947.29/507,668.80
  6. Step 6: Final answer
    x = 249,018.51

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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.