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Finding the Fourth Proportional to 524,153.82, 786,078.69 and 204,234.33

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Solution

The fourth proportional to 524,153.82, 786,078.69 and 204,234.33 is: 306,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,153.82 : 786,078.69 = 204,234.33 : x
  2. Step 2: Convert to fraction form
    524,153.82/786,078.69 = 204,234.33/x
  3. Step 3: Cross multiply
    524,153.82x = 786,078.69 × 204,234.33
  4. Step 4: Simplify right side
    524,153.82x = 160,544,254,579.43
  5. Step 5: Solve for x
    x = 160,544,254,579.43/524,153.82
  6. Step 6: Final answer
    x = 306,292.25

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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.