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Finding the Fourth Proportional to 359,241.94, 495,742.53 and 198,103.78

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Solution

The fourth proportional to 359,241.94, 495,742.53 and 198,103.78 is: 273,376.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,241.94 : 495,742.53 = 198,103.78 : x
  2. Step 2: Convert to fraction form
    359,241.94/495,742.53 = 198,103.78/x
  3. Step 3: Cross multiply
    359,241.94x = 495,742.53 × 198,103.78
  4. Step 4: Simplify right side
    359,241.94x = 98,208,469,099.76
  5. Step 5: Solve for x
    x = 98,208,469,099.76/359,241.94
  6. Step 6: Final answer
    x = 273,376.96

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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.