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Finding the Fourth Proportional to 330,056.67, 494,955.87 and 116,742.16

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Solution

The fourth proportional to 330,056.67, 494,955.87 and 116,742.16 is: 175,067.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,056.67 : 494,955.87 = 116,742.16 : x
  2. Step 2: Convert to fraction form
    330,056.67/494,955.87 = 116,742.16/x
  3. Step 3: Cross multiply
    330,056.67x = 494,955.87 × 116,742.16
  4. Step 4: Simplify right side
    330,056.67x = 57,782,217,549.39
  5. Step 5: Solve for x
    x = 57,782,217,549.39/330,056.67
  6. Step 6: Final answer
    x = 175,067.56

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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.