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Finding the Fourth Proportional to 293,957.59, 440,956.44 and 116,464.33

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Solution

The fourth proportional to 293,957.59, 440,956.44 and 116,464.33 is: 174,704.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,957.59 : 440,956.44 = 116,464.33 : x
  2. Step 2: Convert to fraction form
    293,957.59/440,956.44 = 116,464.33/x
  3. Step 3: Cross multiply
    293,957.59x = 440,956.44 × 116,464.33
  4. Step 4: Simplify right side
    293,957.59x = 51,355,696,343.79
  5. Step 5: Solve for x
    x = 51,355,696,343.79/293,957.59
  6. Step 6: Final answer
    x = 174,704.44

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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.