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Finding the Fourth Proportional to 317,668.56, 476,548.80 and 107,366.64

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Solution

The fourth proportional to 317,668.56, 476,548.80 and 107,366.64 is: 161,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,668.56 : 476,548.80 = 107,366.64 : x
  2. Step 2: Convert to fraction form
    317,668.56/476,548.80 = 107,366.64/x
  3. Step 3: Cross multiply
    317,668.56x = 476,548.80 × 107,366.64
  4. Step 4: Simplify right side
    317,668.56x = 51,165,443,452.03
  5. Step 5: Solve for x
    x = 51,165,443,452.03/317,668.56
  6. Step 6: Final answer
    x = 161,065.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.