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Finding the Fourth Proportional to 293,533.74, 405,069.26 and 164,477.52

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Solution

The fourth proportional to 293,533.74, 405,069.26 and 164,477.52 is: 226,974.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,533.74 : 405,069.26 = 164,477.52 : x
  2. Step 2: Convert to fraction form
    293,533.74/405,069.26 = 164,477.52/x
  3. Step 3: Cross multiply
    293,533.74x = 405,069.26 × 164,477.52
  4. Step 4: Simplify right side
    293,533.74x = 66,624,786,490.65
  5. Step 5: Solve for x
    x = 66,624,786,490.65/293,533.74
  6. Step 6: Final answer
    x = 226,974.88

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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.