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Finding the Fourth Proportional to 433,166.64, 649,675.44 and 117,648.96

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Solution

The fourth proportional to 433,166.64, 649,675.44 and 117,648.96 is: 176,453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,166.64 : 649,675.44 = 117,648.96 : x
  2. Step 2: Convert to fraction form
    433,166.64/649,675.44 = 117,648.96/x
  3. Step 3: Cross multiply
    433,166.64x = 649,675.44 × 117,648.96
  4. Step 4: Simplify right side
    433,166.64x = 76,433,639,853.54
  5. Step 5: Solve for x
    x = 76,433,639,853.54/433,166.64
  6. Step 6: Final answer
    x = 176,453.20

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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.