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Finding the Fourth Proportional to 477,644.46, 659,149.32 and 262,779.91

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Solution

The fourth proportional to 477,644.46, 659,149.32 and 262,779.91 is: 362,636.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,644.46 : 659,149.32 = 262,779.91 : x
  2. Step 2: Convert to fraction form
    477,644.46/659,149.32 = 262,779.91/x
  3. Step 3: Cross multiply
    477,644.46x = 659,149.32 × 262,779.91
  4. Step 4: Simplify right side
    477,644.46x = 173,211,198,986.16
  5. Step 5: Solve for x
    x = 173,211,198,986.16/477,644.46
  6. Step 6: Final answer
    x = 362,636.26

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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.