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Finding the Fourth Proportional to 293,664.60, 440,496.90 and 205,091.10

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Solution

The fourth proportional to 293,664.60, 440,496.90 and 205,091.10 is: 307,636.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,664.60 : 440,496.90 = 205,091.10 : x
  2. Step 2: Convert to fraction form
    293,664.60/440,496.90 = 205,091.10/x
  3. Step 3: Cross multiply
    293,664.60x = 440,496.90 × 205,091.10
  4. Step 4: Simplify right side
    293,664.60x = 90,341,993,767.59
  5. Step 5: Solve for x
    x = 90,341,993,767.59/293,664.60
  6. Step 6: Final answer
    x = 307,636.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.