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Finding the Fourth Proportional to 284,797.08, 426,408.18 and 214,463.16

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Solution

The fourth proportional to 284,797.08, 426,408.18 and 214,463.16 is: 321,101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,797.08 : 426,408.18 = 214,463.16 : x
  2. Step 2: Convert to fraction form
    284,797.08/426,408.18 = 214,463.16/x
  3. Step 3: Cross multiply
    284,797.08x = 426,408.18 × 214,463.16
  4. Step 4: Simplify right side
    284,797.08x = 91,448,845,732.65
  5. Step 5: Solve for x
    x = 91,448,845,732.65/284,797.08
  6. Step 6: Final answer
    x = 321,101.77

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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.