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Finding the Fourth Proportional to 321,564.40, 443,760.06 and 178,337.68

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Solution

The fourth proportional to 321,564.40, 443,760.06 and 178,337.68 is: 246,106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,564.40 : 443,760.06 = 178,337.68 : x
  2. Step 2: Convert to fraction form
    321,564.40/443,760.06 = 178,337.68/x
  3. Step 3: Cross multiply
    321,564.40x = 443,760.06 × 178,337.68
  4. Step 4: Simplify right side
    321,564.40x = 79,139,139,577.06
  5. Step 5: Solve for x
    x = 79,139,139,577.06/321,564.40
  6. Step 6: Final answer
    x = 246,106.66

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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.