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Finding the Fourth Proportional to 343,798.70, 515,803.64 and 164,113.43

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Solution

The fourth proportional to 343,798.70, 515,803.64 and 164,113.43 is: 246,220.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,798.70 : 515,803.64 = 164,113.43 : x
  2. Step 2: Convert to fraction form
    343,798.70/515,803.64 = 164,113.43/x
  3. Step 3: Cross multiply
    343,798.70x = 515,803.64 × 164,113.43
  4. Step 4: Simplify right side
    343,798.70x = 84,650,301,167.30
  5. Step 5: Solve for x
    x = 84,650,301,167.30/343,798.70
  6. Step 6: Final answer
    x = 246,220.54

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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.