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Finding the Fourth Proportional to 289,342.20, 433,754.10 and 189,550.20

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Solution

The fourth proportional to 289,342.20, 433,754.10 and 189,550.20 is: 284,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,342.20 : 433,754.10 = 189,550.20 : x
  2. Step 2: Convert to fraction form
    289,342.20/433,754.10 = 189,550.20/x
  3. Step 3: Cross multiply
    289,342.20x = 433,754.10 × 189,550.20
  4. Step 4: Simplify right side
    289,342.20x = 82,218,176,405.82
  5. Step 5: Solve for x
    x = 82,218,176,405.82/289,342.20
  6. Step 6: Final answer
    x = 284,155.50

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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.