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Finding the Fourth Proportional to 293,896.35, 405,572.47 and 164,834.80

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Solution

The fourth proportional to 293,896.35, 405,572.47 and 164,834.80 is: 227,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,896.35 : 405,572.47 = 164,834.80 : x
  2. Step 2: Convert to fraction form
    293,896.35/405,572.47 = 164,834.80/x
  3. Step 3: Cross multiply
    293,896.35x = 405,572.47 × 164,834.80
  4. Step 4: Simplify right side
    293,896.35x = 66,852,455,551.94
  5. Step 5: Solve for x
    x = 66,852,455,551.94/293,896.35
  6. Step 6: Final answer
    x = 227,469.50

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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.