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Finding the Fourth Proportional to 361,497.78, 542,583.05 and 184,137.57

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Solution

The fourth proportional to 361,497.78, 542,583.05 and 184,137.57 is: 276,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,497.78 : 542,583.05 = 184,137.57 : x
  2. Step 2: Convert to fraction form
    361,497.78/542,583.05 = 184,137.57/x
  3. Step 3: Cross multiply
    361,497.78x = 542,583.05 × 184,137.57
  4. Step 4: Simplify right side
    361,497.78x = 99,909,923,429.50
  5. Step 5: Solve for x
    x = 99,909,923,429.50/361,497.78
  6. Step 6: Final answer
    x = 276,377.70

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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.