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Finding the Fourth Proportional to 304,608.62, 420,304.92 and 175,523.78

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Solution

The fourth proportional to 304,608.62, 420,304.92 and 175,523.78 is: 242,191.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,608.62 : 420,304.92 = 175,523.78 : x
  2. Step 2: Convert to fraction form
    304,608.62/420,304.92 = 175,523.78/x
  3. Step 3: Cross multiply
    304,608.62x = 420,304.92 × 175,523.78
  4. Step 4: Simplify right side
    304,608.62x = 73,773,508,311.00
  5. Step 5: Solve for x
    x = 73,773,508,311.00/304,608.62
  6. Step 6: Final answer
    x = 242,191.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.