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Finding the Fourth Proportional to 433,952.60, 650,469.62 and 197,461.35

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Solution

The fourth proportional to 433,952.60, 650,469.62 and 197,461.35 is: 295,983.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,952.60 : 650,469.62 = 197,461.35 : x
  2. Step 2: Convert to fraction form
    433,952.60/650,469.62 = 197,461.35/x
  3. Step 3: Cross multiply
    433,952.60x = 650,469.62 × 197,461.35
  4. Step 4: Simplify right side
    433,952.60x = 128,442,608,311.88
  5. Step 5: Solve for x
    x = 128,442,608,311.88/433,952.60
  6. Step 6: Final answer
    x = 295,983.04

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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.