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Finding the Fourth Proportional to 492,313.29, 738,404.33 and 137,297.58

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Solution

The fourth proportional to 492,313.29, 738,404.33 and 137,297.58 is: 205,928.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,313.29 : 738,404.33 = 137,297.58 : x
  2. Step 2: Convert to fraction form
    492,313.29/738,404.33 = 137,297.58/x
  3. Step 3: Cross multiply
    492,313.29x = 738,404.33 × 137,297.58
  4. Step 4: Simplify right side
    492,313.29x = 101,381,126,884.03
  5. Step 5: Solve for x
    x = 101,381,126,884.03/492,313.29
  6. Step 6: Final answer
    x = 205,928.07

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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.