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Finding the Fourth Proportional to 380,583.66, 570,873.86 and 96,276.90

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Solution

The fourth proportional to 380,583.66, 570,873.86 and 96,276.90 is: 144,414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,583.66 : 570,873.86 = 96,276.90 : x
  2. Step 2: Convert to fraction form
    380,583.66/570,873.86 = 96,276.90/x
  3. Step 3: Cross multiply
    380,583.66x = 570,873.86 × 96,276.90
  4. Step 4: Simplify right side
    380,583.66x = 54,961,965,531.83
  5. Step 5: Solve for x
    x = 54,961,965,531.83/380,583.66
  6. Step 6: Final answer
    x = 144,414.94

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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.