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Finding the Fourth Proportional to 431,816.40, 647,530.20 and 195,037.20

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Solution

The fourth proportional to 431,816.40, 647,530.20 and 195,037.20 is: 292,468.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,816.40 : 647,530.20 = 195,037.20 : x
  2. Step 2: Convert to fraction form
    431,816.40/647,530.20 = 195,037.20/x
  3. Step 3: Cross multiply
    431,816.40x = 647,530.20 × 195,037.20
  4. Step 4: Simplify right side
    431,816.40x = 126,292,477,123.44
  5. Step 5: Solve for x
    x = 126,292,477,123.44/431,816.40
  6. Step 6: Final answer
    x = 292,468.00

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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.