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Finding the Fourth Proportional to 533,355.94, 800,034.66 and 217,812.84

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Solution

The fourth proportional to 533,355.94, 800,034.66 and 217,812.84 is: 326,719.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,355.94 : 800,034.66 = 217,812.84 : x
  2. Step 2: Convert to fraction form
    533,355.94/800,034.66 = 217,812.84/x
  3. Step 3: Cross multiply
    533,355.94x = 800,034.66 × 217,812.84
  4. Step 4: Simplify right side
    533,355.94x = 174,257,821,393.03
  5. Step 5: Solve for x
    x = 174,257,821,393.03/533,355.94
  6. Step 6: Final answer
    x = 326,719.57

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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.