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Finding the Fourth Proportional to 289,200.80, 433,282.80 and 247,728.80

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Solution

The fourth proportional to 289,200.80, 433,282.80 and 247,728.80 is: 371,149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,200.80 : 433,282.80 = 247,728.80 : x
  2. Step 2: Convert to fraction form
    289,200.80/433,282.80 = 247,728.80/x
  3. Step 3: Cross multiply
    289,200.80x = 433,282.80 × 247,728.80
  4. Step 4: Simplify right side
    289,200.80x = 107,336,628,104.64
  5. Step 5: Solve for x
    x = 107,336,628,104.64/289,200.80
  6. Step 6: Final answer
    x = 371,149.14

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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.