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Finding the Fourth Proportional to 524,157.34, 786,083.94 and 204,237.85

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Solution

The fourth proportional to 524,157.34, 786,083.94 and 204,237.85 is: 306,297.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,157.34 : 786,083.94 = 204,237.85 : x
  2. Step 2: Convert to fraction form
    524,157.34/786,083.94 = 204,237.85/x
  3. Step 3: Cross multiply
    524,157.34x = 786,083.94 × 204,237.85
  4. Step 4: Simplify right side
    524,157.34x = 160,548,093,825.13
  5. Step 5: Solve for x
    x = 160,548,093,825.13/524,157.34
  6. Step 6: Final answer
    x = 306,297.52

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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.