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Finding the Fourth Proportional to 300,714, 414,985.32 and 166,578

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Solution

The fourth proportional to 300,714, 414,985.32 and 166,578 is: 229,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,714 : 414,985.32 = 166,578 : x
  2. Step 2: Convert to fraction form
    300,714/414,985.32 = 166,578/x
  3. Step 3: Cross multiply
    300,714x = 414,985.32 × 166,578
  4. Step 4: Simplify right side
    300,714x = 69,127,424,634.96
  5. Step 5: Solve for x
    x = 69,127,424,634.96/300,714
  6. Step 6: Final answer
    x = 229,877.64

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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.