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Finding the Fourth Proportional to 489,442.38, 733,294.53 and 204,505.67

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Solution

The fourth proportional to 489,442.38, 733,294.53 and 204,505.67 is: 306,395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,442.38 : 733,294.53 = 204,505.67 : x
  2. Step 2: Convert to fraction form
    489,442.38/733,294.53 = 204,505.67/x
  3. Step 3: Cross multiply
    489,442.38x = 733,294.53 × 204,505.67
  4. Step 4: Simplify right side
    489,442.38x = 149,962,885,498.51
  5. Step 5: Solve for x
    x = 149,962,885,498.51/489,442.38
  6. Step 6: Final answer
    x = 306,395.38

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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.