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Finding the Fourth Proportional to 340,286.54, 510,506.02 and 103,647.74

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Solution

The fourth proportional to 340,286.54, 510,506.02 and 103,647.74 is: 155,494.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,286.54 : 510,506.02 = 103,647.74 : x
  2. Step 2: Convert to fraction form
    340,286.54/510,506.02 = 103,647.74/x
  3. Step 3: Cross multiply
    340,286.54x = 510,506.02 × 103,647.74
  4. Step 4: Simplify right side
    340,286.54x = 52,912,795,229.39
  5. Step 5: Solve for x
    x = 52,912,795,229.39/340,286.54
  6. Step 6: Final answer
    x = 155,494.82

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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.