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Finding the Fourth Proportional to 307,246.80, 460,870.20 and 200,958.60

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Solution

The fourth proportional to 307,246.80, 460,870.20 and 200,958.60 is: 301,437.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,246.80 : 460,870.20 = 200,958.60 : x
  2. Step 2: Convert to fraction form
    307,246.80/460,870.20 = 200,958.60/x
  3. Step 3: Cross multiply
    307,246.80x = 460,870.20 × 200,958.60
  4. Step 4: Simplify right side
    307,246.80x = 92,615,830,173.72
  5. Step 5: Solve for x
    x = 92,615,830,173.72/307,246.80
  6. Step 6: Final answer
    x = 301,437.90

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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.