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Finding the Fourth Proportional to 393,686.52, 590,623.33 and 127,446.91

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Solution

The fourth proportional to 393,686.52, 590,623.33 and 127,446.91 is: 191,200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,686.52 : 590,623.33 = 127,446.91 : x
  2. Step 2: Convert to fraction form
    393,686.52/590,623.33 = 127,446.91/x
  3. Step 3: Cross multiply
    393,686.52x = 590,623.33 × 127,446.91
  4. Step 4: Simplify right side
    393,686.52x = 75,273,115,429.29
  5. Step 5: Solve for x
    x = 75,273,115,429.29/393,686.52
  6. Step 6: Final answer
    x = 191,200.64

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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.