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Finding the Fourth Proportional to 427,266.56, 640,902 and 111,724.16

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Solution

The fourth proportional to 427,266.56, 640,902 and 111,724.16 is: 167,586.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,266.56 : 640,902 = 111,724.16 : x
  2. Step 2: Convert to fraction form
    427,266.56/640,902 = 111,724.16/x
  3. Step 3: Cross multiply
    427,266.56x = 640,902 × 111,724.16
  4. Step 4: Simplify right side
    427,266.56x = 71,604,237,592.32
  5. Step 5: Solve for x
    x = 71,604,237,592.32/427,266.56
  6. Step 6: Final answer
    x = 167,586.80

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