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Finding the Fourth Proportional to 433,496.70, 650,179.36 and 117,978.20

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Solution

The fourth proportional to 433,496.70, 650,179.36 and 117,978.20 is: 176,949.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,496.70 : 650,179.36 = 117,978.20 : x
  2. Step 2: Convert to fraction form
    433,496.70/650,179.36 = 117,978.20/x
  3. Step 3: Cross multiply
    433,496.70x = 650,179.36 × 117,978.20
  4. Step 4: Simplify right side
    433,496.70x = 76,706,990,569.95
  5. Step 5: Solve for x
    x = 76,706,990,569.95/433,496.70
  6. Step 6: Final answer
    x = 176,949.42

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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.