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Finding the Fourth Proportional to 359,564.86, 496,190.37 and 198,417.79

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Solution

The fourth proportional to 359,564.86, 496,190.37 and 198,417.79 is: 273,811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,564.86 : 496,190.37 = 198,417.79 : x
  2. Step 2: Convert to fraction form
    359,564.86/496,190.37 = 198,417.79/x
  3. Step 3: Cross multiply
    359,564.86x = 496,190.37 × 198,417.79
  4. Step 4: Simplify right side
    359,564.86x = 98,452,996,634.68
  5. Step 5: Solve for x
    x = 98,452,996,634.68/359,564.86
  6. Step 6: Final answer
    x = 273,811.51

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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.