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Finding the Fourth Proportional to 360,946.04, 541,951.31 and 201,333.84

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Solution

The fourth proportional to 360,946.04, 541,951.31 and 201,333.84 is: 302,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,946.04 : 541,951.31 = 201,333.84 : x
  2. Step 2: Convert to fraction form
    360,946.04/541,951.31 = 201,333.84/x
  3. Step 3: Cross multiply
    360,946.04x = 541,951.31 × 201,333.84
  4. Step 4: Simplify right side
    360,946.04x = 109,113,135,673.85
  5. Step 5: Solve for x
    x = 109,113,135,673.85/360,946.04
  6. Step 6: Final answer
    x = 302,297.64

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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.