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Finding the Fourth Proportional to 433,697.20, 650,108.40 and 197,209.60

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Solution

The fourth proportional to 433,697.20, 650,108.40 and 197,209.60 is: 295,615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,697.20 : 650,108.40 = 197,209.60 : x
  2. Step 2: Convert to fraction form
    433,697.20/650,108.40 = 197,209.60/x
  3. Step 3: Cross multiply
    433,697.20x = 650,108.40 × 197,209.60
  4. Step 4: Simplify right side
    433,697.20x = 128,207,617,520.64
  5. Step 5: Solve for x
    x = 128,207,617,520.64/433,697.20
  6. Step 6: Final answer
    x = 295,615.51

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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.