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Finding the Fourth Proportional to 513,898.38, 770,581.98 and 225,592.02

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Solution

The fourth proportional to 513,898.38, 770,581.98 and 225,592.02 is: 338,271.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,898.38 : 770,581.98 = 225,592.02 : x
  2. Step 2: Convert to fraction form
    513,898.38/770,581.98 = 225,592.02/x
  3. Step 3: Cross multiply
    513,898.38x = 770,581.98 × 225,592.02
  4. Step 4: Simplify right side
    513,898.38x = 173,837,145,443.80
  5. Step 5: Solve for x
    x = 173,837,145,443.80/513,898.38
  6. Step 6: Final answer
    x = 338,271.44

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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.