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Finding the Fourth Proportional to 311,534.10, 429,916.52 and 168,293.70

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Solution

The fourth proportional to 311,534.10, 429,916.52 and 168,293.70 is: 232,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,534.10 : 429,916.52 = 168,293.70 : x
  2. Step 2: Convert to fraction form
    311,534.10/429,916.52 = 168,293.70/x
  3. Step 3: Cross multiply
    311,534.10x = 429,916.52 × 168,293.70
  4. Step 4: Simplify right side
    311,534.10x = 72,352,241,841.92
  5. Step 5: Solve for x
    x = 72,352,241,841.92/311,534.10
  6. Step 6: Final answer
    x = 232,245.02

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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.