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Finding the Fourth Proportional to 321,271, 443,363.70 and 178,017.64

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Solution

The fourth proportional to 321,271, 443,363.70 and 178,017.64 is: 245,669.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,271 : 443,363.70 = 178,017.64 : x
  2. Step 2: Convert to fraction form
    321,271/443,363.70 = 178,017.64/x
  3. Step 3: Cross multiply
    321,271x = 443,363.70 × 178,017.64
  4. Step 4: Simplify right side
    321,271x = 78,926,559,535.67
  5. Step 5: Solve for x
    x = 78,926,559,535.67/321,271
  6. Step 6: Final answer
    x = 245,669.73

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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.