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Finding the Fourth Proportional to 533,415.19, 800,202.36 and 196,429.96

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Solution

The fourth proportional to 533,415.19, 800,202.36 and 196,429.96 is: 294,674.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,415.19 : 800,202.36 = 196,429.96 : x
  2. Step 2: Convert to fraction form
    533,415.19/800,202.36 = 196,429.96/x
  3. Step 3: Cross multiply
    533,415.19x = 800,202.36 × 196,429.96
  4. Step 4: Simplify right side
    533,415.19x = 157,183,717,566.71
  5. Step 5: Solve for x
    x = 157,183,717,566.71/533,415.19
  6. Step 6: Final answer
    x = 294,674.24

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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.