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Finding the Fourth Proportional to 513,898.76, 770,405.16 and 198,576.92

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Solution

The fourth proportional to 513,898.76, 770,405.16 and 198,576.92 is: 297,694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,898.76 : 770,405.16 = 198,576.92 : x
  2. Step 2: Convert to fraction form
    513,898.76/770,405.16 = 198,576.92/x
  3. Step 3: Cross multiply
    513,898.76x = 770,405.16 × 198,576.92
  4. Step 4: Simplify right side
    513,898.76x = 152,984,683,824.91
  5. Step 5: Solve for x
    x = 152,984,683,824.91/513,898.76
  6. Step 6: Final answer
    x = 297,694.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.