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Finding the Fourth Proportional to 343,311.70, 515,113.35 and 165,727.30

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Solution

The fourth proportional to 343,311.70, 515,113.35 and 165,727.30 is: 248,661.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,311.70 : 515,113.35 = 165,727.30 : x
  2. Step 2: Convert to fraction form
    343,311.70/515,113.35 = 165,727.30/x
  3. Step 3: Cross multiply
    343,311.70x = 515,113.35 × 165,727.30
  4. Step 4: Simplify right side
    343,311.70x = 85,368,344,689.46
  5. Step 5: Solve for x
    x = 85,368,344,689.46/343,311.70
  6. Step 6: Final answer
    x = 248,661.33

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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.