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Finding the Fourth Proportional to 313,232.80, 469,849.20 and 180,522.40

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Solution

The fourth proportional to 313,232.80, 469,849.20 and 180,522.40 is: 270,783.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,232.80 : 469,849.20 = 180,522.40 : x
  2. Step 2: Convert to fraction form
    313,232.80/469,849.20 = 180,522.40/x
  3. Step 3: Cross multiply
    313,232.80x = 469,849.20 × 180,522.40
  4. Step 4: Simplify right side
    313,232.80x = 84,818,305,222.08
  5. Step 5: Solve for x
    x = 84,818,305,222.08/313,232.80
  6. Step 6: Final answer
    x = 270,783.60

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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.