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Finding the Fourth Proportional to 289,077.90, 433,552.05 and 189,933.90

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Solution

The fourth proportional to 289,077.90, 433,552.05 and 189,933.90 is: 284,858.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,077.90 : 433,552.05 = 189,933.90 : x
  2. Step 2: Convert to fraction form
    289,077.90/433,552.05 = 189,933.90/x
  3. Step 3: Cross multiply
    289,077.90x = 433,552.05 × 189,933.90
  4. Step 4: Simplify right side
    289,077.90x = 82,346,231,709.50
  5. Step 5: Solve for x
    x = 82,346,231,709.50/289,077.90
  6. Step 6: Final answer
    x = 284,858.27

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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.