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Finding the Fourth Proportional to 293,998.90, 405,809.86 and 233,676.58

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Solution

The fourth proportional to 293,998.90, 405,809.86 and 233,676.58 is: 322,546.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,998.90 : 405,809.86 = 233,676.58 : x
  2. Step 2: Convert to fraction form
    293,998.90/405,809.86 = 233,676.58/x
  3. Step 3: Cross multiply
    293,998.90x = 405,809.86 × 233,676.58
  4. Step 4: Simplify right side
    293,998.90x = 94,828,260,215.08
  5. Step 5: Solve for x
    x = 94,828,260,215.08/293,998.90
  6. Step 6: Final answer
    x = 322,546.31

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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.