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Finding the Fourth Proportional to 359,808.28, 496,543.16 and 198,673.52

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Solution

The fourth proportional to 359,808.28, 496,543.16 and 198,673.52 is: 274,173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,808.28 : 496,543.16 = 198,673.52 : x
  2. Step 2: Convert to fraction form
    359,808.28/496,543.16 = 198,673.52/x
  3. Step 3: Cross multiply
    359,808.28x = 496,543.16 × 198,673.52
  4. Step 4: Simplify right side
    359,808.28x = 98,649,977,429.12
  5. Step 5: Solve for x
    x = 98,649,977,429.12/359,808.28
  6. Step 6: Final answer
    x = 274,173.73

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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.