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Finding the Fourth Proportional to 477,766.84, 659,321.34 and 262,900.84

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Solution

The fourth proportional to 477,766.84, 659,321.34 and 262,900.84 is: 362,804.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,766.84 : 659,321.34 = 262,900.84 : x
  2. Step 2: Convert to fraction form
    477,766.84/659,321.34 = 262,900.84/x
  3. Step 3: Cross multiply
    477,766.84x = 659,321.34 × 262,900.84
  4. Step 4: Simplify right side
    477,766.84x = 173,336,134,115.93
  5. Step 5: Solve for x
    x = 173,336,134,115.93/477,766.84
  6. Step 6: Final answer
    x = 362,804.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.