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Finding the Fourth Proportional to 359,691.55, 496,371.90 and 196,347.40

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Solution

The fourth proportional to 359,691.55, 496,371.90 and 196,347.40 is: 270,958.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,691.55 : 496,371.90 = 196,347.40 : x
  2. Step 2: Convert to fraction form
    359,691.55/496,371.90 = 196,347.40/x
  3. Step 3: Cross multiply
    359,691.55x = 496,371.90 × 196,347.40
  4. Step 4: Simplify right side
    359,691.55x = 97,461,331,998.06
  5. Step 5: Solve for x
    x = 97,461,331,998.06/359,691.55
  6. Step 6: Final answer
    x = 270,958.08

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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.