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Finding the Fourth Proportional to 340,260.74, 510,745.78 and 150,854.11

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Solution

The fourth proportional to 340,260.74, 510,745.78 and 150,854.11 is: 226,438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,260.74 : 510,745.78 = 150,854.11 : x
  2. Step 2: Convert to fraction form
    340,260.74/510,745.78 = 150,854.11/x
  3. Step 3: Cross multiply
    340,260.74x = 510,745.78 × 150,854.11
  4. Step 4: Simplify right side
    340,260.74x = 77,048,100,905.16
  5. Step 5: Solve for x
    x = 77,048,100,905.16/340,260.74
  6. Step 6: Final answer
    x = 226,438.41

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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.