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Finding the Fourth Proportional to 359,459.04, 496,055.12 and 198,314

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Solution

The fourth proportional to 359,459.04, 496,055.12 and 198,314 is: 273,674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,459.04 : 496,055.12 = 198,314 : x
  2. Step 2: Convert to fraction form
    359,459.04/496,055.12 = 198,314/x
  3. Step 3: Cross multiply
    359,459.04x = 496,055.12 × 198,314
  4. Step 4: Simplify right side
    359,459.04x = 98,374,675,067.68
  5. Step 5: Solve for x
    x = 98,374,675,067.68/359,459.04
  6. Step 6: Final answer
    x = 273,674.23

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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.