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Finding the Fourth Proportional to 433,535.78, 650,246.25 and 196,824.02

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Solution

The fourth proportional to 433,535.78, 650,246.25 and 196,824.02 is: 295,209.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,535.78 : 650,246.25 = 196,824.02 : x
  2. Step 2: Convert to fraction form
    433,535.78/650,246.25 = 196,824.02/x
  3. Step 3: Cross multiply
    433,535.78x = 650,246.25 × 196,824.02
  4. Step 4: Simplify right side
    433,535.78x = 127,984,077,663.69
  5. Step 5: Solve for x
    x = 127,984,077,663.69/433,535.78
  6. Step 6: Final answer
    x = 295,209.96

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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.