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Finding the Fourth Proportional to 853,693.26, 1,178,096.31 and 471,716.70

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Solution

The fourth proportional to 853,693.26, 1,178,096.31 and 471,716.70 is: 650,968.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,693.26 : 1,178,096.31 = 471,716.70 : x
  2. Step 2: Convert to fraction form
    853,693.26/1,178,096.31 = 471,716.70/x
  3. Step 3: Cross multiply
    853,693.26x = 1,178,096.31 × 471,716.70
  4. Step 4: Simplify right side
    853,693.26x = 555,727,703,635.38
  5. Step 5: Solve for x
    x = 555,727,703,635.38/853,693.26
  6. Step 6: Final answer
    x = 650,968.83

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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.