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Finding the Fourth Proportional to 311,827.16, 430,321.46 and 168,587.16

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Solution

The fourth proportional to 311,827.16, 430,321.46 and 168,587.16 is: 232,650.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,827.16 : 430,321.46 = 168,587.16 : x
  2. Step 2: Convert to fraction form
    311,827.16/430,321.46 = 168,587.16/x
  3. Step 3: Cross multiply
    311,827.16x = 430,321.46 × 168,587.16
  4. Step 4: Simplify right side
    311,827.16x = 72,546,672,828.45
  5. Step 5: Solve for x
    x = 72,546,672,828.45/311,827.16
  6. Step 6: Final answer
    x = 232,650.27

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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.