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Finding the Fourth Proportional to 359,941.47, 496,709.73 and 198,793.05

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Solution

The fourth proportional to 359,941.47, 496,709.73 and 198,793.05 is: 274,329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,941.47 : 496,709.73 = 198,793.05 : x
  2. Step 2: Convert to fraction form
    359,941.47/496,709.73 = 198,793.05/x
  3. Step 3: Cross multiply
    359,941.47x = 496,709.73 × 198,793.05
  4. Step 4: Simplify right side
    359,941.47x = 98,742,442,191.38
  5. Step 5: Solve for x
    x = 98,742,442,191.38/359,941.47
  6. Step 6: Final answer
    x = 274,329.16

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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.