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Finding the Fourth Proportional to 315,340.10, 434,974.74 and 224,725.10

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Solution

The fourth proportional to 315,340.10, 434,974.74 and 224,725.10 is: 309,981.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,340.10 : 434,974.74 = 224,725.10 : x
  2. Step 2: Convert to fraction form
    315,340.10/434,974.74 = 224,725.10/x
  3. Step 3: Cross multiply
    315,340.10x = 434,974.74 × 224,725.10
  4. Step 4: Simplify right side
    315,340.10x = 97,749,741,943.97
  5. Step 5: Solve for x
    x = 97,749,741,943.97/315,340.10
  6. Step 6: Final answer
    x = 309,981.96

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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.