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Finding the Fourth Proportional to 359,674.48, 496,359.12 and 198,532

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Solution

The fourth proportional to 359,674.48, 496,359.12 and 198,532 is: 273,978.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,674.48 : 496,359.12 = 198,532 : x
  2. Step 2: Convert to fraction form
    359,674.48/496,359.12 = 198,532/x
  3. Step 3: Cross multiply
    359,674.48x = 496,359.12 × 198,532
  4. Step 4: Simplify right side
    359,674.48x = 98,543,168,811.84
  5. Step 5: Solve for x
    x = 98,543,168,811.84/359,674.48
  6. Step 6: Final answer
    x = 273,978.76

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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.