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Finding the Fourth Proportional to 464,222.62, 696,333.94 and 306,414.17

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Solution

The fourth proportional to 464,222.62, 696,333.94 and 306,414.17 is: 459,621.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,222.62 : 696,333.94 = 306,414.17 : x
  2. Step 2: Convert to fraction form
    464,222.62/696,333.94 = 306,414.17/x
  3. Step 3: Cross multiply
    464,222.62x = 696,333.94 × 306,414.17
  4. Step 4: Simplify right side
    464,222.62x = 213,366,586,267.93
  5. Step 5: Solve for x
    x = 213,366,586,267.93/464,222.62
  6. Step 6: Final answer
    x = 459,621.26

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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.