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Finding the Fourth Proportional to 289,784.70, 434,093.85 and 201,138.30

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Solution

The fourth proportional to 289,784.70, 434,093.85 and 201,138.30 is: 301,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,784.70 : 434,093.85 = 201,138.30 : x
  2. Step 2: Convert to fraction form
    289,784.70/434,093.85 = 201,138.30/x
  3. Step 3: Cross multiply
    289,784.70x = 434,093.85 × 201,138.30
  4. Step 4: Simplify right side
    289,784.70x = 87,312,899,029.46
  5. Step 5: Solve for x
    x = 87,312,899,029.46/289,784.70
  6. Step 6: Final answer
    x = 301,302.65

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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.