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Finding the Fourth Proportional to 380,580.66, 570,869.37 and 96,273.90

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Solution

The fourth proportional to 380,580.66, 570,869.37 and 96,273.90 is: 144,410.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,580.66 : 570,869.37 = 96,273.90 : x
  2. Step 2: Convert to fraction form
    380,580.66/570,869.37 = 96,273.90/x
  3. Step 3: Cross multiply
    380,580.66x = 570,869.37 × 96,273.90
  4. Step 4: Simplify right side
    380,580.66x = 54,959,820,640.44
  5. Step 5: Solve for x
    x = 54,959,820,640.44/380,580.66
  6. Step 6: Final answer
    x = 144,410.44

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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.