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Finding the Fourth Proportional to 359,930.70, 496,701.45 and 198,796.79

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Solution

The fourth proportional to 359,930.70, 496,701.45 and 198,796.79 is: 274,337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,930.70 : 496,701.45 = 198,796.79 : x
  2. Step 2: Convert to fraction form
    359,930.70/496,701.45 = 198,796.79/x
  3. Step 3: Cross multiply
    359,930.70x = 496,701.45 × 198,796.79
  4. Step 4: Simplify right side
    359,930.70x = 98,742,655,090.10
  5. Step 5: Solve for x
    x = 98,742,655,090.10/359,930.70
  6. Step 6: Final answer
    x = 274,337.96

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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.