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Finding the Fourth Proportional to 359,933.40, 496,698.59 and 198,784.98

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Solution

The fourth proportional to 359,933.40, 496,698.59 and 198,784.98 is: 274,318.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,933.40 : 496,698.59 = 198,784.98 : x
  2. Step 2: Convert to fraction form
    359,933.40/496,698.59 = 198,784.98/x
  3. Step 3: Cross multiply
    359,933.40x = 496,698.59 × 198,784.98
  4. Step 4: Simplify right side
    359,933.40x = 98,736,218,285.25
  5. Step 5: Solve for x
    x = 98,736,218,285.25/359,933.40
  6. Step 6: Final answer
    x = 274,318.02

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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.