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Finding the Fourth Proportional to 228,416.46, 342,622.71 and 178,538.46

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Solution

The fourth proportional to 228,416.46, 342,622.71 and 178,538.46 is: 267,806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,416.46 : 342,622.71 = 178,538.46 : x
  2. Step 2: Convert to fraction form
    228,416.46/342,622.71 = 178,538.46/x
  3. Step 3: Cross multiply
    228,416.46x = 342,622.71 × 178,538.46
  4. Step 4: Simplify right side
    228,416.46x = 61,171,331,004.43
  5. Step 5: Solve for x
    x = 61,171,331,004.43/228,416.46
  6. Step 6: Final answer
    x = 267,806.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.