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Finding the Fourth Proportional to 464,912.06, 641,527.31 and 260,916.20

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Solution

The fourth proportional to 464,912.06, 641,527.31 and 260,916.20 is: 360,035.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,912.06 : 641,527.31 = 260,916.20 : x
  2. Step 2: Convert to fraction form
    464,912.06/641,527.31 = 260,916.20/x
  3. Step 3: Cross multiply
    464,912.06x = 641,527.31 × 260,916.20
  4. Step 4: Simplify right side
    464,912.06x = 167,384,865,366.08
  5. Step 5: Solve for x
    x = 167,384,865,366.08/464,912.06
  6. Step 6: Final answer
    x = 360,035.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.