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Finding the Fourth Proportional to 300,670.31, 414,925.04 and 166,534.31

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Solution

The fourth proportional to 300,670.31, 414,925.04 and 166,534.31 is: 229,817.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,670.31 : 414,925.04 = 166,534.31 : x
  2. Step 2: Convert to fraction form
    300,670.31/414,925.04 = 166,534.31/x
  3. Step 3: Cross multiply
    300,670.31x = 414,925.04 × 166,534.31
  4. Step 4: Simplify right side
    300,670.31x = 69,099,256,691.77
  5. Step 5: Solve for x
    x = 69,099,256,691.77/300,670.31
  6. Step 6: Final answer
    x = 229,817.36

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Why These Related Problems?

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