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Finding the Fourth Proportional to 380,612.10, 570,927.42 and 127,896.25

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Solution

The fourth proportional to 380,612.10, 570,927.42 and 127,896.25 is: 191,847.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,612.10 : 570,927.42 = 127,896.25 : x
  2. Step 2: Convert to fraction form
    380,612.10/570,927.42 = 127,896.25/x
  3. Step 3: Cross multiply
    380,612.10x = 570,927.42 × 127,896.25
  4. Step 4: Simplify right side
    380,612.10x = 73,019,476,040.18
  5. Step 5: Solve for x
    x = 73,019,476,040.18/380,612.10
  6. Step 6: Final answer
    x = 191,847.49

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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.