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Finding the Fourth Proportional to 359,809.29, 496,544.58 and 198,674.57

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Solution

The fourth proportional to 359,809.29, 496,544.58 and 198,674.57 is: 274,175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,809.29 : 496,544.58 = 198,674.57 : x
  2. Step 2: Convert to fraction form
    359,809.29/496,544.58 = 198,674.57/x
  3. Step 3: Cross multiply
    359,809.29x = 496,544.58 × 198,674.57
  4. Step 4: Simplify right side
    359,809.29x = 98,650,782,158.69
  5. Step 5: Solve for x
    x = 98,650,782,158.69/359,809.29
  6. Step 6: Final answer
    x = 274,175.19

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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.