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Finding the Fourth Proportional to 344,977.20, 517,465.80 and 167,830.20

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Solution

The fourth proportional to 344,977.20, 517,465.80 and 167,830.20 is: 251,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,977.20 : 517,465.80 = 167,830.20 : x
  2. Step 2: Convert to fraction form
    344,977.20/517,465.80 = 167,830.20/x
  3. Step 3: Cross multiply
    344,977.20x = 517,465.80 × 167,830.20
  4. Step 4: Simplify right side
    344,977.20x = 86,846,388,707.16
  5. Step 5: Solve for x
    x = 86,846,388,707.16/344,977.20
  6. Step 6: Final answer
    x = 251,745.30

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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.