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Finding the Fourth Proportional to 513,605.28, 770,628.48 and 198,283.62

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Solution

The fourth proportional to 513,605.28, 770,628.48 and 198,283.62 is: 297,510.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,605.28 : 770,628.48 = 198,283.62 : x
  2. Step 2: Convert to fraction form
    513,605.28/770,628.48 = 198,283.62/x
  3. Step 3: Cross multiply
    513,605.28x = 770,628.48 × 198,283.62
  4. Step 4: Simplify right side
    513,605.28x = 152,803,004,689.50
  5. Step 5: Solve for x
    x = 152,803,004,689.50/513,605.28
  6. Step 6: Final answer
    x = 297,510.58

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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.