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Finding the Fourth Proportional to 361,486.70, 498,851.68 and 200,352.14

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Solution

The fourth proportional to 361,486.70, 498,851.68 and 200,352.14 is: 276,485.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,486.70 : 498,851.68 = 200,352.14 : x
  2. Step 2: Convert to fraction form
    361,486.70/498,851.68 = 200,352.14/x
  3. Step 3: Cross multiply
    361,486.70x = 498,851.68 × 200,352.14
  4. Step 4: Simplify right side
    361,486.70x = 99,946,001,630.60
  5. Step 5: Solve for x
    x = 99,946,001,630.60/361,486.70
  6. Step 6: Final answer
    x = 276,485.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.