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Finding the Fourth Proportional to 321,827.20, 451,491.20 and 321,827.20

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Solution

The fourth proportional to 321,827.20, 451,491.20 and 321,827.20 is: 451,491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,827.20 : 451,491.20 = 321,827.20 : x
  2. Step 2: Convert to fraction form
    321,827.20/451,491.20 = 321,827.20/x
  3. Step 3: Cross multiply
    321,827.20x = 451,491.20 × 321,827.20
  4. Step 4: Simplify right side
    321,827.20x = 145,302,148,720.64
  5. Step 5: Solve for x
    x = 145,302,148,720.64/321,827.20
  6. Step 6: Final answer
    x = 451,491.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.