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Finding the Fourth Proportional to 359,654, 496,322.52 and 200,678

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Solution

The fourth proportional to 359,654, 496,322.52 and 200,678 is: 276,935.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,654 : 496,322.52 = 200,678 : x
  2. Step 2: Convert to fraction form
    359,654/496,322.52 = 200,678/x
  3. Step 3: Cross multiply
    359,654x = 496,322.52 × 200,678
  4. Step 4: Simplify right side
    359,654x = 99,601,010,668.56
  5. Step 5: Solve for x
    x = 99,601,010,668.56/359,654
  6. Step 6: Final answer
    x = 276,935.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.