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Finding the Fourth Proportional to 431,996.80, 647,534.40 and 165,654.40

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Solution

The fourth proportional to 431,996.80, 647,534.40 and 165,654.40 is: 248,304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,996.80 : 647,534.40 = 165,654.40 : x
  2. Step 2: Convert to fraction form
    431,996.80/647,534.40 = 165,654.40/x
  3. Step 3: Cross multiply
    431,996.80x = 647,534.40 × 165,654.40
  4. Step 4: Simplify right side
    431,996.80x = 107,266,922,511.36
  5. Step 5: Solve for x
    x = 107,266,922,511.36/431,996.80
  6. Step 6: Final answer
    x = 248,304.90

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1.5x scale

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.