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Finding the Fourth Proportional to 380,817.60, 571,111.26 and 114,507.42

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Solution

The fourth proportional to 380,817.60, 571,111.26 and 114,507.42 is: 171,726.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,817.60 : 571,111.26 = 114,507.42 : x
  2. Step 2: Convert to fraction form
    380,817.60/571,111.26 = 114,507.42/x
  3. Step 3: Cross multiply
    380,817.60x = 571,111.26 × 114,507.42
  4. Step 4: Simplify right side
    380,817.60x = 65,396,476,915.55
  5. Step 5: Solve for x
    x = 65,396,476,915.55/380,817.60
  6. Step 6: Final answer
    x = 171,726.51

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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.