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Finding the Fourth Proportional to 433,005.82, 649,347.17 and 148,615.67

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Solution

The fourth proportional to 433,005.82, 649,347.17 and 148,615.67 is: 222,868.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,005.82 : 649,347.17 = 148,615.67 : x
  2. Step 2: Convert to fraction form
    433,005.82/649,347.17 = 148,615.67/x
  3. Step 3: Cross multiply
    433,005.82x = 649,347.17 × 148,615.67
  4. Step 4: Simplify right side
    433,005.82x = 96,503,165,612.44
  5. Step 5: Solve for x
    x = 96,503,165,612.44/433,005.82
  6. Step 6: Final answer
    x = 222,868.06

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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.