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Finding the Fourth Proportional to 293,958.59, 440,957.94 and 116,465.33

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Solution

The fourth proportional to 293,958.59, 440,957.94 and 116,465.33 is: 174,705.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,958.59 : 440,957.94 = 116,465.33 : x
  2. Step 2: Convert to fraction form
    293,958.59/440,957.94 = 116,465.33/x
  3. Step 3: Cross multiply
    293,958.59x = 440,957.94 × 116,465.33
  4. Step 4: Simplify right side
    293,958.59x = 51,356,311,998.22
  5. Step 5: Solve for x
    x = 51,356,311,998.22/293,958.59
  6. Step 6: Final answer
    x = 174,705.94

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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.