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Finding the Fourth Proportional to 313,274.80, 469,912.20 and 180,564.40

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Solution

The fourth proportional to 313,274.80, 469,912.20 and 180,564.40 is: 270,846.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,274.80 : 469,912.20 = 180,564.40 : x
  2. Step 2: Convert to fraction form
    313,274.80/469,912.20 = 180,564.40/x
  3. Step 3: Cross multiply
    313,274.80x = 469,912.20 × 180,564.40
  4. Step 4: Simplify right side
    313,274.80x = 84,849,414,445.68
  5. Step 5: Solve for x
    x = 84,849,414,445.68/313,274.80
  6. Step 6: Final answer
    x = 270,846.60

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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.