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Finding the Fourth Proportional to 361,227, 541,840.50 and 98,571

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Solution

The fourth proportional to 361,227, 541,840.50 and 98,571 is: 147,856.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,227 : 541,840.50 = 98,571 : x
  2. Step 2: Convert to fraction form
    361,227/541,840.50 = 98,571/x
  3. Step 3: Cross multiply
    361,227x = 541,840.50 × 98,571
  4. Step 4: Simplify right side
    361,227x = 53,409,759,925.50
  5. Step 5: Solve for x
    x = 53,409,759,925.50/361,227
  6. Step 6: Final answer
    x = 147,856.50

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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.