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Finding the Fourth Proportional to 304,894.52, 420,754.40 and 170,758.52

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Solution

The fourth proportional to 304,894.52, 420,754.40 and 170,758.52 is: 235,646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,894.52 : 420,754.40 = 170,758.52 : x
  2. Step 2: Convert to fraction form
    304,894.52/420,754.40 = 170,758.52/x
  3. Step 3: Cross multiply
    304,894.52x = 420,754.40 × 170,758.52
  4. Step 4: Simplify right side
    304,894.52x = 71,847,398,627.49
  5. Step 5: Solve for x
    x = 71,847,398,627.49/304,894.52
  6. Step 6: Final answer
    x = 235,646.74

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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.