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Finding the Fourth Proportional to 649,855.24, 974,796.22 and 200,576.40

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Solution

The fourth proportional to 649,855.24, 974,796.22 and 200,576.40 is: 300,868.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,855.24 : 974,796.22 = 200,576.40 : x
  2. Step 2: Convert to fraction form
    649,855.24/974,796.22 = 200,576.40/x
  3. Step 3: Cross multiply
    649,855.24x = 974,796.22 × 200,576.40
  4. Step 4: Simplify right side
    649,855.24x = 195,521,116,541.21
  5. Step 5: Solve for x
    x = 195,521,116,541.21/649,855.24
  6. Step 6: Final answer
    x = 300,868.72

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1.5x scale

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.