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Finding the Fourth Proportional to 447,584.42, 617,674.38 and 243,641.21

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Solution

The fourth proportional to 447,584.42, 617,674.38 and 243,641.21 is: 336,229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,584.42 : 617,674.38 = 243,641.21 : x
  2. Step 2: Convert to fraction form
    447,584.42/617,674.38 = 243,641.21/x
  3. Step 3: Cross multiply
    447,584.42x = 617,674.38 × 243,641.21
  4. Step 4: Simplify right side
    447,584.42x = 150,490,929,327.17
  5. Step 5: Solve for x
    x = 150,490,929,327.17/447,584.42
  6. Step 6: Final answer
    x = 336,229.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.