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Finding the Fourth Proportional to 343,031.43, 514,596.96 and 106,393.17

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Solution

The fourth proportional to 343,031.43, 514,596.96 and 106,393.17 is: 159,605.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,031.43 : 514,596.96 = 106,393.17 : x
  2. Step 2: Convert to fraction form
    343,031.43/514,596.96 = 106,393.17/x
  3. Step 3: Cross multiply
    343,031.43x = 514,596.96 × 106,393.17
  4. Step 4: Simplify right side
    343,031.43x = 54,749,601,846.76
  5. Step 5: Solve for x
    x = 54,749,601,846.76/343,031.43
  6. Step 6: Final answer
    x = 159,605.21

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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.