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Finding the Fourth Proportional to 359,879.94, 496,631.13 and 198,736.29

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Solution

The fourth proportional to 359,879.94, 496,631.13 and 198,736.29 is: 274,254.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,879.94 : 496,631.13 = 198,736.29 : x
  2. Step 2: Convert to fraction form
    359,879.94/496,631.13 = 198,736.29/x
  3. Step 3: Cross multiply
    359,879.94x = 496,631.13 × 198,736.29
  4. Step 4: Simplify right side
    359,879.94x = 98,698,628,274.71
  5. Step 5: Solve for x
    x = 98,698,628,274.71/359,879.94
  6. Step 6: Final answer
    x = 274,254.32

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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.