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Finding the Fourth Proportional to 208,241.40, 312,359.34 and 50,471.22

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Solution

The fourth proportional to 208,241.40, 312,359.34 and 50,471.22 is: 75,706.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,241.40 : 312,359.34 = 50,471.22 : x
  2. Step 2: Convert to fraction form
    208,241.40/312,359.34 = 50,471.22/x
  3. Step 3: Cross multiply
    208,241.40x = 312,359.34 × 50,471.22
  4. Step 4: Simplify right side
    208,241.40x = 15,765,156,968.19
  5. Step 5: Solve for x
    x = 15,765,156,968.19/208,241.40
  6. Step 6: Final answer
    x = 75,706.16

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1.5x scale

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.