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Finding the Fourth Proportional to 359,742.35, 496,448.46 and 198,597.48

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Solution

The fourth proportional to 359,742.35, 496,448.46 and 198,597.48 is: 274,066.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,742.35 : 496,448.46 = 198,597.48 : x
  2. Step 2: Convert to fraction form
    359,742.35/496,448.46 = 198,597.48/x
  3. Step 3: Cross multiply
    359,742.35x = 496,448.46 × 198,597.48
  4. Step 4: Simplify right side
    359,742.35x = 98,593,413,105.88
  5. Step 5: Solve for x
    x = 98,593,413,105.88/359,742.35
  6. Step 6: Final answer
    x = 274,066.74

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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.