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Finding the Fourth Proportional to 289,066.44, 433,640.52 and 89,404.32

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Solution

The fourth proportional to 289,066.44, 433,640.52 and 89,404.32 is: 134,119.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,066.44 : 433,640.52 = 89,404.32 : x
  2. Step 2: Convert to fraction form
    289,066.44/433,640.52 = 89,404.32/x
  3. Step 3: Cross multiply
    289,066.44x = 433,640.52 × 89,404.32
  4. Step 4: Simplify right side
    289,066.44x = 38,769,335,815.05
  5. Step 5: Solve for x
    x = 38,769,335,815.05/289,066.44
  6. Step 6: Final answer
    x = 134,119.12

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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.