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Finding the Fourth Proportional to 359,795.78, 496,525.92 and 198,661.01

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Solution

The fourth proportional to 359,795.78, 496,525.92 and 198,661.01 is: 274,156.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,795.78 : 496,525.92 = 198,661.01 : x
  2. Step 2: Convert to fraction form
    359,795.78/496,525.92 = 198,661.01/x
  3. Step 3: Cross multiply
    359,795.78x = 496,525.92 × 198,661.01
  4. Step 4: Simplify right side
    359,795.78x = 98,640,339,765.07
  5. Step 5: Solve for x
    x = 98,640,339,765.07/359,795.78
  6. Step 6: Final answer
    x = 274,156.47

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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.