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Finding the Fourth Proportional to 290,031.50, 434,997.09 and 76,802.48

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Solution

The fourth proportional to 290,031.50, 434,997.09 and 76,802.48 is: 115,190.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,031.50 : 434,997.09 = 76,802.48 : x
  2. Step 2: Convert to fraction form
    290,031.50/434,997.09 = 76,802.48/x
  3. Step 3: Cross multiply
    290,031.50x = 434,997.09 × 76,802.48
  4. Step 4: Simplify right side
    290,031.50x = 33,408,855,304.78
  5. Step 5: Solve for x
    x = 33,408,855,304.78/290,031.50
  6. Step 6: Final answer
    x = 115,190.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.