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Finding the Fourth Proportional to 359,628.42, 496,284.78 and 198,483.47

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Solution

The fourth proportional to 359,628.42, 496,284.78 and 198,483.47 is: 273,905.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,628.42 : 496,284.78 = 198,483.47 : x
  2. Step 2: Convert to fraction form
    359,628.42/496,284.78 = 198,483.47/x
  3. Step 3: Cross multiply
    359,628.42x = 496,284.78 × 198,483.47
  4. Step 4: Simplify right side
    359,628.42x = 98,504,325,490.69
  5. Step 5: Solve for x
    x = 98,504,325,490.69/359,628.42
  6. Step 6: Final answer
    x = 273,905.84

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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.