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Finding the Fourth Proportional to 533,382.96, 800,389.62 and 196,658.76

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Solution

The fourth proportional to 533,382.96, 800,389.62 and 196,658.76 is: 295,104.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,382.96 : 800,389.62 = 196,658.76 : x
  2. Step 2: Convert to fraction form
    533,382.96/800,389.62 = 196,658.76/x
  3. Step 3: Cross multiply
    533,382.96x = 800,389.62 × 196,658.76
  4. Step 4: Simplify right side
    533,382.96x = 157,403,630,186.07
  5. Step 5: Solve for x
    x = 157,403,630,186.07/533,382.96
  6. Step 6: Final answer
    x = 295,104.35

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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.