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Finding the Fourth Proportional to 433,248.42, 649,622.48 and 133,648.56

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Solution

The fourth proportional to 433,248.42, 649,622.48 and 133,648.56 is: 200,395.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,248.42 : 649,622.48 = 133,648.56 : x
  2. Step 2: Convert to fraction form
    433,248.42/649,622.48 = 133,648.56/x
  3. Step 3: Cross multiply
    433,248.42x = 649,622.48 × 133,648.56
  4. Step 4: Simplify right side
    433,248.42x = 86,821,108,995.63
  5. Step 5: Solve for x
    x = 86,821,108,995.63/433,248.42
  6. Step 6: Final answer
    x = 200,395.67

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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.