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Finding the Fourth Proportional to 321,849.36, 482,861.16 and 97,217.10

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Solution

The fourth proportional to 321,849.36, 482,861.16 and 97,217.10 is: 145,851.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,849.36 : 482,861.16 = 97,217.10 : x
  2. Step 2: Convert to fraction form
    321,849.36/482,861.16 = 97,217.10/x
  3. Step 3: Cross multiply
    321,849.36x = 482,861.16 × 97,217.10
  4. Step 4: Simplify right side
    321,849.36x = 46,942,361,677.84
  5. Step 5: Solve for x
    x = 46,942,361,677.84/321,849.36
  6. Step 6: Final answer
    x = 145,851.97

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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.