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Finding the Fourth Proportional to 433,462.32, 650,262.87 and 133,872.48

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Solution

The fourth proportional to 433,462.32, 650,262.87 and 133,872.48 is: 200,830.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,462.32 : 650,262.87 = 133,872.48 : x
  2. Step 2: Convert to fraction form
    433,462.32/650,262.87 = 133,872.48/x
  3. Step 3: Cross multiply
    433,462.32x = 650,262.87 × 133,872.48
  4. Step 4: Simplify right side
    433,462.32x = 87,052,303,058.82
  5. Step 5: Solve for x
    x = 87,052,303,058.82/433,462.32
  6. Step 6: Final answer
    x = 200,830.15

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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.