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Finding the Fourth Proportional to 304,774.62, 420,584.33 and 166,952.44

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Solution

The fourth proportional to 304,774.62, 420,584.33 and 166,952.44 is: 230,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,774.62 : 420,584.33 = 166,952.44 : x
  2. Step 2: Convert to fraction form
    304,774.62/420,584.33 = 166,952.44/x
  3. Step 3: Cross multiply
    304,774.62x = 420,584.33 × 166,952.44
  4. Step 4: Simplify right side
    304,774.62x = 70,217,578,016.34
  5. Step 5: Solve for x
    x = 70,217,578,016.34/304,774.62
  6. Step 6: Final answer
    x = 230,391.82

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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.