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Finding the Fourth Proportional to 533,114.30, 799,811.63 and 191,592.20

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Solution

The fourth proportional to 533,114.30, 799,811.63 and 191,592.20 is: 287,438.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,114.30 : 799,811.63 = 191,592.20 : x
  2. Step 2: Convert to fraction form
    533,114.30/799,811.63 = 191,592.20/x
  3. Step 3: Cross multiply
    533,114.30x = 799,811.63 × 191,592.20
  4. Step 4: Simplify right side
    533,114.30x = 153,237,664,820.27
  5. Step 5: Solve for x
    x = 153,237,664,820.27/533,114.30
  6. Step 6: Final answer
    x = 287,438.67

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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.