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Finding the Fourth Proportional to 344,064, 474,809.94 and 193,161

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Solution

The fourth proportional to 344,064, 474,809.94 and 193,161 is: 266,563.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,064 : 474,809.94 = 193,161 : x
  2. Step 2: Convert to fraction form
    344,064/474,809.94 = 193,161/x
  3. Step 3: Cross multiply
    344,064x = 474,809.94 × 193,161
  4. Step 4: Simplify right side
    344,064x = 91,714,762,820.34
  5. Step 5: Solve for x
    x = 91,714,762,820.34/344,064
  6. Step 6: Final answer
    x = 266,563.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.