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Finding the Fourth Proportional to 293,901.98, 405,580.23 and 164,840.42

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Solution

The fourth proportional to 293,901.98, 405,580.23 and 164,840.42 is: 227,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,901.98 : 405,580.23 = 164,840.42 : x
  2. Step 2: Convert to fraction form
    293,901.98/405,580.23 = 164,840.42/x
  3. Step 3: Cross multiply
    293,901.98x = 405,580.23 × 164,840.42
  4. Step 4: Simplify right side
    293,901.98x = 66,856,016,470.85
  5. Step 5: Solve for x
    x = 66,856,016,470.85/293,901.98
  6. Step 6: Final answer
    x = 227,477.26

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1.5x scale

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.