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Finding the Fourth Proportional to 321,771.54, 444,065.58 and 178,547.34

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Solution

The fourth proportional to 321,771.54, 444,065.58 and 178,547.34 is: 246,406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,771.54 : 444,065.58 = 178,547.34 : x
  2. Step 2: Convert to fraction form
    321,771.54/444,065.58 = 178,547.34/x
  3. Step 3: Cross multiply
    321,771.54x = 444,065.58 × 178,547.34
  4. Step 4: Simplify right side
    321,771.54x = 79,286,728,094.56
  5. Step 5: Solve for x
    x = 79,286,728,094.56/321,771.54
  6. Step 6: Final answer
    x = 246,406.90

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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.