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Finding the Fourth Proportional to 359,309.04, 538,963.56 and 109,958.64

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Solution

The fourth proportional to 359,309.04, 538,963.56 and 109,958.64 is: 164,937.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,309.04 : 538,963.56 = 109,958.64 : x
  2. Step 2: Convert to fraction form
    359,309.04/538,963.56 = 109,958.64/x
  3. Step 3: Cross multiply
    359,309.04x = 538,963.56 × 109,958.64
  4. Step 4: Simplify right side
    359,309.04x = 59,263,700,067.16
  5. Step 5: Solve for x
    x = 59,263,700,067.16/359,309.04
  6. Step 6: Final answer
    x = 164,937.96

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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.