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Finding the Fourth Proportional to 362,946.79, 500,853.45 and 199,601.88

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Solution

The fourth proportional to 362,946.79, 500,853.45 and 199,601.88 is: 275,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,946.79 : 500,853.45 = 199,601.88 : x
  2. Step 2: Convert to fraction form
    362,946.79/500,853.45 = 199,601.88/x
  3. Step 3: Cross multiply
    362,946.79x = 500,853.45 × 199,601.88
  4. Step 4: Simplify right side
    362,946.79x = 99,971,290,224.49
  5. Step 5: Solve for x
    x = 99,971,290,224.49/362,946.79
  6. Step 6: Final answer
    x = 275,443.38

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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.