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Finding the Fourth Proportional to 289,111.80, 433,709.01 and 89,449.23

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Solution

The fourth proportional to 289,111.80, 433,709.01 and 89,449.23 is: 134,186.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,111.80 : 433,709.01 = 89,449.23 : x
  2. Step 2: Convert to fraction form
    289,111.80/433,709.01 = 89,449.23/x
  3. Step 3: Cross multiply
    289,111.80x = 433,709.01 × 89,449.23
  4. Step 4: Simplify right side
    289,111.80x = 38,794,936,988.56
  5. Step 5: Solve for x
    x = 38,794,936,988.56/289,111.80
  6. Step 6: Final answer
    x = 134,186.63

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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.