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Finding the Fourth Proportional to 293,653.64, 405,145.64 and 164,573.25

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Solution

The fourth proportional to 293,653.64, 405,145.64 and 164,573.25 is: 227,057.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,653.64 : 405,145.64 = 164,573.25 : x
  2. Step 2: Convert to fraction form
    293,653.64/405,145.64 = 164,573.25/x
  3. Step 3: Cross multiply
    293,653.64x = 405,145.64 × 164,573.25
  4. Step 4: Simplify right side
    293,653.64x = 66,676,135,109.56
  5. Step 5: Solve for x
    x = 66,676,135,109.56/293,653.64
  6. Step 6: Final answer
    x = 227,057.07

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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.