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Finding the Fourth Proportional to 304,774.47, 420,584.14 and 166,952.30

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Solution

The fourth proportional to 304,774.47, 420,584.14 and 166,952.30 is: 230,391.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,774.47 : 420,584.14 = 166,952.30 : x
  2. Step 2: Convert to fraction form
    304,774.47/420,584.14 = 166,952.30/x
  3. Step 3: Cross multiply
    304,774.47x = 420,584.14 × 166,952.30
  4. Step 4: Simplify right side
    304,774.47x = 70,217,486,996.22
  5. Step 5: Solve for x
    x = 70,217,486,996.22/304,774.47
  6. Step 6: Final answer
    x = 230,391.63

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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.