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Finding the Fourth Proportional to 317,499.28, 476,394.76 and 137,639.60

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Solution

The fourth proportional to 317,499.28, 476,394.76 and 137,639.60 is: 206,522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,499.28 : 476,394.76 = 137,639.60 : x
  2. Step 2: Convert to fraction form
    317,499.28/476,394.76 = 137,639.60/x
  3. Step 3: Cross multiply
    317,499.28x = 476,394.76 × 137,639.60
  4. Step 4: Simplify right side
    317,499.28x = 65,570,784,208.50
  5. Step 5: Solve for x
    x = 65,570,784,208.50/317,499.28
  6. Step 6: Final answer
    x = 206,522.62

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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.