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Finding the Fourth Proportional to 322,140, 444,559.20 and 178,913.28

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Solution

The fourth proportional to 322,140, 444,559.20 and 178,913.28 is: 246,903.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,140 : 444,559.20 = 178,913.28 : x
  2. Step 2: Convert to fraction form
    322,140/444,559.20 = 178,913.28/x
  3. Step 3: Cross multiply
    322,140x = 444,559.20 × 178,913.28
  4. Step 4: Simplify right side
    322,140x = 79,537,544,626.18
  5. Step 5: Solve for x
    x = 79,537,544,626.18/322,140
  6. Step 6: Final answer
    x = 246,903.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.