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Finding the Fourth Proportional to 415,231.90, 622,848.27 and 115,713.34

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Solution

The fourth proportional to 415,231.90, 622,848.27 and 115,713.34 is: 173,570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,231.90 : 622,848.27 = 115,713.34 : x
  2. Step 2: Convert to fraction form
    415,231.90/622,848.27 = 115,713.34/x
  3. Step 3: Cross multiply
    415,231.90x = 622,848.27 × 115,713.34
  4. Step 4: Simplify right side
    415,231.90x = 72,071,853,634.92
  5. Step 5: Solve for x
    x = 72,071,853,634.92/415,231.90
  6. Step 6: Final answer
    x = 173,570.13

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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.