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Finding the Fourth Proportional to 288,843.40, 433,200.30 and 189,699.40

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Solution

The fourth proportional to 288,843.40, 433,200.30 and 189,699.40 is: 284,506.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,843.40 : 433,200.30 = 189,699.40 : x
  2. Step 2: Convert to fraction form
    288,843.40/433,200.30 = 189,699.40/x
  3. Step 3: Cross multiply
    288,843.40x = 433,200.30 × 189,699.40
  4. Step 4: Simplify right side
    288,843.40x = 82,177,836,989.82
  5. Step 5: Solve for x
    x = 82,177,836,989.82/288,843.40
  6. Step 6: Final answer
    x = 284,506.54

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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.