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Finding the Fourth Proportional to 477,704.32, 659,247.84 and 262,860.16

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Solution

The fourth proportional to 477,704.32, 659,247.84 and 262,860.16 is: 362,755.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,704.32 : 659,247.84 = 262,860.16 : x
  2. Step 2: Convert to fraction form
    477,704.32/659,247.84 = 262,860.16/x
  3. Step 3: Cross multiply
    477,704.32x = 659,247.84 × 262,860.16
  4. Step 4: Simplify right side
    477,704.32x = 173,289,992,702.05
  5. Step 5: Solve for x
    x = 173,289,992,702.05/477,704.32
  6. Step 6: Final answer
    x = 362,755.76

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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.