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Finding the Fourth Proportional to 524,164.02, 785,780.59 and 204,241.78

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Solution

The fourth proportional to 524,164.02, 785,780.59 and 204,241.78 is: 306,181.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,164.02 : 785,780.59 = 204,241.78 : x
  2. Step 2: Convert to fraction form
    524,164.02/785,780.59 = 204,241.78/x
  3. Step 3: Cross multiply
    524,164.02x = 785,780.59 × 204,241.78
  4. Step 4: Simplify right side
    524,164.02x = 160,489,226,391.05
  5. Step 5: Solve for x
    x = 160,489,226,391.05/524,164.02
  6. Step 6: Final answer
    x = 306,181.31

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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.