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Finding the Fourth Proportional to 333,785.26, 500,728.11 and 97,096.78

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Solution

The fourth proportional to 333,785.26, 500,728.11 and 97,096.78 is: 145,659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,785.26 : 500,728.11 = 97,096.78 : x
  2. Step 2: Convert to fraction form
    333,785.26/500,728.11 = 97,096.78/x
  3. Step 3: Cross multiply
    333,785.26x = 500,728.11 × 97,096.78
  4. Step 4: Simplify right side
    333,785.26x = 48,619,087,136.49
  5. Step 5: Solve for x
    x = 48,619,087,136.49/333,785.26
  6. Step 6: Final answer
    x = 145,659.78

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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.