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Finding the Fourth Proportional to 359,488.41, 496,109.01 and 198,353.90

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Solution

The fourth proportional to 359,488.41, 496,109.01 and 198,353.90 is: 273,736.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,488.41 : 496,109.01 = 198,353.90 : x
  2. Step 2: Convert to fraction form
    359,488.41/496,109.01 = 198,353.90/x
  3. Step 3: Cross multiply
    359,488.41x = 496,109.01 × 198,353.90
  4. Step 4: Simplify right side
    359,488.41x = 98,405,154,478.09
  5. Step 5: Solve for x
    x = 98,405,154,478.09/359,488.41
  6. Step 6: Final answer
    x = 273,736.65

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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.