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Finding the Fourth Proportional to 275,270.40, 413,164.80 and 170,294.40

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Solution

The fourth proportional to 275,270.40, 413,164.80 and 170,294.40 is: 255,601.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,270.40 : 413,164.80 = 170,294.40 : x
  2. Step 2: Convert to fraction form
    275,270.40/413,164.80 = 170,294.40/x
  3. Step 3: Cross multiply
    275,270.40x = 413,164.80 × 170,294.40
  4. Step 4: Simplify right side
    275,270.40x = 70,359,651,717.12
  5. Step 5: Solve for x
    x = 70,359,651,717.12/275,270.40
  6. Step 6: Final answer
    x = 255,601.95

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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.