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Finding the Fourth Proportional to 433,098.90, 649,663.20 and 133,577.10

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Solution

The fourth proportional to 433,098.90, 649,663.20 and 133,577.10 is: 200,370.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,098.90 : 649,663.20 = 133,577.10 : x
  2. Step 2: Convert to fraction form
    433,098.90/649,663.20 = 133,577.10/x
  3. Step 3: Cross multiply
    433,098.90x = 649,663.20 × 133,577.10
  4. Step 4: Simplify right side
    433,098.90x = 86,780,126,232.72
  5. Step 5: Solve for x
    x = 86,780,126,232.72/433,098.90
  6. Step 6: Final answer
    x = 200,370.23

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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.