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Finding the Fourth Proportional to 406,306.53, 560,516.88 and 263,112.69

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Solution

The fourth proportional to 406,306.53, 560,516.88 and 263,112.69 is: 362,974.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,306.53 : 560,516.88 = 263,112.69 : x
  2. Step 2: Convert to fraction form
    406,306.53/560,516.88 = 263,112.69/x
  3. Step 3: Cross multiply
    406,306.53x = 560,516.88 × 263,112.69
  4. Step 4: Simplify right side
    406,306.53x = 147,479,104,087.21
  5. Step 5: Solve for x
    x = 147,479,104,087.21/406,306.53
  6. Step 6: Final answer
    x = 362,974.98

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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.