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Finding the Fourth Proportional to 393,503.44, 590,255.16 and 109,194.08

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Solution

The fourth proportional to 393,503.44, 590,255.16 and 109,194.08 is: 163,791.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,503.44 : 590,255.16 = 109,194.08 : x
  2. Step 2: Convert to fraction form
    393,503.44/590,255.16 = 109,194.08/x
  3. Step 3: Cross multiply
    393,503.44x = 590,255.16 × 109,194.08
  4. Step 4: Simplify right side
    393,503.44x = 64,452,369,161.45
  5. Step 5: Solve for x
    x = 64,452,369,161.45/393,503.44
  6. Step 6: Final answer
    x = 163,791.12

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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.