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Finding the Fourth Proportional to 359,703.81, 496,388.52 and 198,558.97

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Solution

The fourth proportional to 359,703.81, 496,388.52 and 198,558.97 is: 274,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,703.81 : 496,388.52 = 198,558.97 : x
  2. Step 2: Convert to fraction form
    359,703.81/496,388.52 = 198,558.97/x
  3. Step 3: Cross multiply
    359,703.81x = 496,388.52 × 198,558.97
  4. Step 4: Simplify right side
    359,703.81x = 98,562,393,251.02
  5. Step 5: Solve for x
    x = 98,562,393,251.02/359,703.81
  6. Step 6: Final answer
    x = 274,009.87

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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.