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Finding the Fourth Proportional to 289,713.80, 433,695.90 and 254,721.80

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Solution

The fourth proportional to 289,713.80, 433,695.90 and 254,721.80 is: 381,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,713.80 : 433,695.90 = 254,721.80 : x
  2. Step 2: Convert to fraction form
    289,713.80/433,695.90 = 254,721.80/x
  3. Step 3: Cross multiply
    289,713.80x = 433,695.90 × 254,721.80
  4. Step 4: Simplify right side
    289,713.80x = 110,471,800,300.62
  5. Step 5: Solve for x
    x = 110,471,800,300.62/289,713.80
  6. Step 6: Final answer
    x = 381,313.56

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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.