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Finding the Fourth Proportional to 436,109.46, 654,568.99 and 223,029.64

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Solution

The fourth proportional to 436,109.46, 654,568.99 and 223,029.64 is: 334,751.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,109.46 : 654,568.99 = 223,029.64 : x
  2. Step 2: Convert to fraction form
    436,109.46/654,568.99 = 223,029.64/x
  3. Step 3: Cross multiply
    436,109.46x = 654,568.99 × 223,029.64
  4. Step 4: Simplify right side
    436,109.46x = 145,988,286,752.44
  5. Step 5: Solve for x
    x = 145,988,286,752.44/436,109.46
  6. Step 6: Final answer
    x = 334,751.48

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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.