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Finding the Fourth Proportional to 557,978.44, 836,960.10 and 137,257.96

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Solution

The fourth proportional to 557,978.44, 836,960.10 and 137,257.96 is: 205,885.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,978.44 : 836,960.10 = 137,257.96 : x
  2. Step 2: Convert to fraction form
    557,978.44/836,960.10 = 137,257.96/x
  3. Step 3: Cross multiply
    557,978.44x = 836,960.10 × 137,257.96
  4. Step 4: Simplify right side
    557,978.44x = 114,879,435,927.40
  5. Step 5: Solve for x
    x = 114,879,435,927.40/557,978.44
  6. Step 6: Final answer
    x = 205,885.08

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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.