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Finding the Fourth Proportional to 533,117.70, 799,395.75 and 196,071.30

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Solution

The fourth proportional to 533,117.70, 799,395.75 and 196,071.30 is: 294,003.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,117.70 : 799,395.75 = 196,071.30 : x
  2. Step 2: Convert to fraction form
    533,117.70/799,395.75 = 196,071.30/x
  3. Step 3: Cross multiply
    533,117.70x = 799,395.75 × 196,071.30
  4. Step 4: Simplify right side
    533,117.70x = 156,738,563,916.98
  5. Step 5: Solve for x
    x = 156,738,563,916.98/533,117.70
  6. Step 6: Final answer
    x = 294,003.68

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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.