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Finding the Fourth Proportional to 300,924, 415,275.12 and 166,788

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Solution

The fourth proportional to 300,924, 415,275.12 and 166,788 is: 230,167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,924 : 415,275.12 = 166,788 : x
  2. Step 2: Convert to fraction form
    300,924/415,275.12 = 166,788/x
  3. Step 3: Cross multiply
    300,924x = 415,275.12 × 166,788
  4. Step 4: Simplify right side
    300,924x = 69,262,906,714.56
  5. Step 5: Solve for x
    x = 69,262,906,714.56/300,924
  6. Step 6: Final answer
    x = 230,167.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.