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Finding the Fourth Proportional to 293,684, 405,249.54 and 172,798.70

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Solution

The fourth proportional to 293,684, 405,249.54 and 172,798.70 is: 238,441.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,684 : 405,249.54 = 172,798.70 : x
  2. Step 2: Convert to fraction form
    293,684/405,249.54 = 172,798.70/x
  3. Step 3: Cross multiply
    293,684x = 405,249.54 × 172,798.70
  4. Step 4: Simplify right side
    293,684x = 70,026,593,687.60
  5. Step 5: Solve for x
    x = 70,026,593,687.60/293,684
  6. Step 6: Final answer
    x = 238,441.98

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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.