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Finding the Fourth Proportional to 311,930.32, 430,467.24 and 168,693.16

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Solution

The fourth proportional to 311,930.32, 430,467.24 and 168,693.16 is: 232,798.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,930.32 : 430,467.24 = 168,693.16 : x
  2. Step 2: Convert to fraction form
    311,930.32/430,467.24 = 168,693.16/x
  3. Step 3: Cross multiply
    311,930.32x = 430,467.24 × 168,693.16
  4. Step 4: Simplify right side
    311,930.32x = 72,616,878,992.08
  5. Step 5: Solve for x
    x = 72,616,878,992.08/311,930.32
  6. Step 6: Final answer
    x = 232,798.40

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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.