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Finding the Fourth Proportional to 340,442.88, 510,745.32 and 171,548.16

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Solution

The fourth proportional to 340,442.88, 510,745.32 and 171,548.16 is: 257,363.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,442.88 : 510,745.32 = 171,548.16 : x
  2. Step 2: Convert to fraction form
    340,442.88/510,745.32 = 171,548.16/x
  3. Step 3: Cross multiply
    340,442.88x = 510,745.32 × 171,548.16
  4. Step 4: Simplify right side
    340,442.88x = 87,617,419,874.61
  5. Step 5: Solve for x
    x = 87,617,419,874.61/340,442.88
  6. Step 6: Final answer
    x = 257,363.06

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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.