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Finding the Fourth Proportional to 649,940.16, 974,548 and 200,533.44

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Solution

The fourth proportional to 649,940.16, 974,548 and 200,533.44 is: 300,688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,940.16 : 974,548 = 200,533.44 : x
  2. Step 2: Convert to fraction form
    649,940.16/974,548 = 200,533.44/x
  3. Step 3: Cross multiply
    649,940.16x = 974,548 × 200,533.44
  4. Step 4: Simplify right side
    649,940.16x = 195,429,462,885.12
  5. Step 5: Solve for x
    x = 195,429,462,885.12/649,940.16
  6. Step 6: Final answer
    x = 300,688.39

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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.