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Finding the Fourth Proportional to 359,783.42, 496,497.92 and 198,635.00

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Solution

The fourth proportional to 359,783.42, 496,497.92 and 198,635.00 is: 274,114.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,783.42 : 496,497.92 = 198,635.00 : x
  2. Step 2: Convert to fraction form
    359,783.42/496,497.92 = 198,635.00/x
  3. Step 3: Cross multiply
    359,783.42x = 496,497.92 × 198,635.00
  4. Step 4: Simplify right side
    359,783.42x = 98,621,860,863.54
  5. Step 5: Solve for x
    x = 98,621,860,863.54/359,783.42
  6. Step 6: Final answer
    x = 274,114.53

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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.