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Finding the Fourth Proportional to 321,786.76, 444,065.68 and 178,547.80

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Solution

The fourth proportional to 321,786.76, 444,065.68 and 178,547.80 is: 246,395.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,786.76 : 444,065.68 = 178,547.80 : x
  2. Step 2: Convert to fraction form
    321,786.76/444,065.68 = 178,547.80/x
  3. Step 3: Cross multiply
    321,786.76x = 444,065.68 × 178,547.80
  4. Step 4: Simplify right side
    321,786.76x = 79,286,950,219.50
  5. Step 5: Solve for x
    x = 79,286,950,219.50/321,786.76
  6. Step 6: Final answer
    x = 246,395.94

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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.