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Finding the Fourth Proportional to 380,487.73, 570,717.75 and 114,241.32

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Solution

The fourth proportional to 380,487.73, 570,717.75 and 114,241.32 is: 171,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,487.73 : 570,717.75 = 114,241.32 : x
  2. Step 2: Convert to fraction form
    380,487.73/570,717.75 = 114,241.32/x
  3. Step 3: Cross multiply
    380,487.73x = 570,717.75 × 114,241.32
  4. Step 4: Simplify right side
    380,487.73x = 65,199,549,107.43
  5. Step 5: Solve for x
    x = 65,199,549,107.43/380,487.73
  6. Step 6: Final answer
    x = 171,357.82

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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.