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Finding the Fourth Proportional to 461,188.44, 691,992.80 and 236,706.48

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Solution

The fourth proportional to 461,188.44, 691,992.80 and 236,706.48 is: 355,167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,188.44 : 691,992.80 = 236,706.48 : x
  2. Step 2: Convert to fraction form
    461,188.44/691,992.80 = 236,706.48/x
  3. Step 3: Cross multiply
    461,188.44x = 691,992.80 × 236,706.48
  4. Step 4: Simplify right side
    461,188.44x = 163,799,179,873.34
  5. Step 5: Solve for x
    x = 163,799,179,873.34/461,188.44
  6. Step 6: Final answer
    x = 355,167.58

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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.