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Finding the Fourth Proportional to 477,564.76, 659,049.58 and 262,704.84

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Solution

The fourth proportional to 477,564.76, 659,049.58 and 262,704.84 is: 362,538.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,564.76 : 659,049.58 = 262,704.84 : x
  2. Step 2: Convert to fraction form
    477,564.76/659,049.58 = 262,704.84/x
  3. Step 3: Cross multiply
    477,564.76x = 659,049.58 × 262,704.84
  4. Step 4: Simplify right side
    477,564.76x = 173,135,512,322.91
  5. Step 5: Solve for x
    x = 173,135,512,322.91/477,564.76
  6. Step 6: Final answer
    x = 362,538.29

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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.