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Finding the Fourth Proportional to 559,204.88, 838,603.20 and 204,113.84

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Solution

The fourth proportional to 559,204.88, 838,603.20 and 204,113.84 is: 306,096.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,204.88 : 838,603.20 = 204,113.84 : x
  2. Step 2: Convert to fraction form
    559,204.88/838,603.20 = 204,113.84/x
  3. Step 3: Cross multiply
    559,204.88x = 838,603.20 × 204,113.84
  4. Step 4: Simplify right side
    559,204.88x = 171,170,519,388.29
  5. Step 5: Solve for x
    x = 171,170,519,388.29/559,204.88
  6. Step 6: Final answer
    x = 306,096.25

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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.