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Finding the Fourth Proportional to 321,552.96, 482,260.32 and 201,552

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Solution

The fourth proportional to 321,552.96, 482,260.32 and 201,552 is: 302,284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,552.96 : 482,260.32 = 201,552 : x
  2. Step 2: Convert to fraction form
    321,552.96/482,260.32 = 201,552/x
  3. Step 3: Cross multiply
    321,552.96x = 482,260.32 × 201,552
  4. Step 4: Simplify right side
    321,552.96x = 97,200,532,016.64
  5. Step 5: Solve for x
    x = 97,200,532,016.64/321,552.96
  6. Step 6: Final answer
    x = 302,284.68

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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.