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Finding the Fourth Proportional to 384,538.60, 576,809.31 and 118,297.27

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Solution

The fourth proportional to 384,538.60, 576,809.31 and 118,297.27 is: 177,446.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,538.60 : 576,809.31 = 118,297.27 : x
  2. Step 2: Convert to fraction form
    384,538.60/576,809.31 = 118,297.27/x
  3. Step 3: Cross multiply
    384,538.60x = 576,809.31 × 118,297.27
  4. Step 4: Simplify right side
    384,538.60x = 68,234,966,683.58
  5. Step 5: Solve for x
    x = 68,234,966,683.58/384,538.60
  6. Step 6: Final answer
    x = 177,446.34

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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.