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Finding the Fourth Proportional to 380,241.82, 570,165.90 and 202,701.16

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Solution

The fourth proportional to 380,241.82, 570,165.90 and 202,701.16 is: 303,946.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,241.82 : 570,165.90 = 202,701.16 : x
  2. Step 2: Convert to fraction form
    380,241.82/570,165.90 = 202,701.16/x
  3. Step 3: Cross multiply
    380,241.82x = 570,165.90 × 202,701.16
  4. Step 4: Simplify right side
    380,241.82x = 115,573,289,322.44
  5. Step 5: Solve for x
    x = 115,573,289,322.44/380,241.82
  6. Step 6: Final answer
    x = 303,946.81

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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.