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Finding the Fourth Proportional to 321,825.84, 444,124.53 and 178,595.16

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Solution

The fourth proportional to 321,825.84, 444,124.53 and 178,595.16 is: 246,464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,825.84 : 444,124.53 = 178,595.16 : x
  2. Step 2: Convert to fraction form
    321,825.84/444,124.53 = 178,595.16/x
  3. Step 3: Cross multiply
    321,825.84x = 444,124.53 × 178,595.16
  4. Step 4: Simplify right side
    321,825.84x = 79,318,491,495.27
  5. Step 5: Solve for x
    x = 79,318,491,495.27/321,825.84
  6. Step 6: Final answer
    x = 246,464.02

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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.