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Finding the Fourth Proportional to 359,812.44, 496,541.94 and 198,667.80

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Solution

The fourth proportional to 359,812.44, 496,541.94 and 198,667.80 is: 274,161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,812.44 : 496,541.94 = 198,667.80 : x
  2. Step 2: Convert to fraction form
    359,812.44/496,541.94 = 198,667.80/x
  3. Step 3: Cross multiply
    359,812.44x = 496,541.94 × 198,667.80
  4. Step 4: Simplify right side
    359,812.44x = 98,646,894,827.53
  5. Step 5: Solve for x
    x = 98,646,894,827.53/359,812.44
  6. Step 6: Final answer
    x = 274,161.99

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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.