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Finding the Fourth Proportional to 343,415.40, 514,977.30 and 165,976.80

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Solution

The fourth proportional to 343,415.40, 514,977.30 and 165,976.80 is: 248,894.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,415.40 : 514,977.30 = 165,976.80 : x
  2. Step 2: Convert to fraction form
    343,415.40/514,977.30 = 165,976.80/x
  3. Step 3: Cross multiply
    343,415.40x = 514,977.30 × 165,976.80
  4. Step 4: Simplify right side
    343,415.40x = 85,474,284,326.64
  5. Step 5: Solve for x
    x = 85,474,284,326.64/343,415.40
  6. Step 6: Final answer
    x = 248,894.73

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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.