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Finding the Fourth Proportional to 359,657.91, 496,292.54 and 198,502.56

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Solution

The fourth proportional to 359,657.91, 496,292.54 and 198,502.56 is: 273,914.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,657.91 : 496,292.54 = 198,502.56 : x
  2. Step 2: Convert to fraction form
    359,657.91/496,292.54 = 198,502.56/x
  3. Step 3: Cross multiply
    359,657.91x = 496,292.54 × 198,502.56
  4. Step 4: Simplify right side
    359,657.91x = 98,515,338,706.39
  5. Step 5: Solve for x
    x = 98,515,338,706.39/359,657.91
  6. Step 6: Final answer
    x = 273,914.01

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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.