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Finding the Fourth Proportional to 380,744.37, 570,854.12 and 180,896.31

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Solution

The fourth proportional to 380,744.37, 570,854.12 and 180,896.31 is: 271,219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,744.37 : 570,854.12 = 180,896.31 : x
  2. Step 2: Convert to fraction form
    380,744.37/570,854.12 = 180,896.31/x
  3. Step 3: Cross multiply
    380,744.37x = 570,854.12 × 180,896.31
  4. Step 4: Simplify right side
    380,744.37x = 103,265,402,951.82
  5. Step 5: Solve for x
    x = 103,265,402,951.82/380,744.37
  6. Step 6: Final answer
    x = 271,219.78

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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.