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Finding the Fourth Proportional to 296,637.34, 444,952.22 and 71,999.50

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Solution

The fourth proportional to 296,637.34, 444,952.22 and 71,999.50 is: 107,998.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,637.34 : 444,952.22 = 71,999.50 : x
  2. Step 2: Convert to fraction form
    296,637.34/444,952.22 = 71,999.50/x
  3. Step 3: Cross multiply
    296,637.34x = 444,952.22 × 71,999.50
  4. Step 4: Simplify right side
    296,637.34x = 32,036,337,363.89
  5. Step 5: Solve for x
    x = 32,036,337,363.89/296,637.34
  6. Step 6: Final answer
    x = 107,998.33

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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.