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Finding the Fourth Proportional to 477,646.96, 659,152.77 and 262,782.41

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Solution

The fourth proportional to 477,646.96, 659,152.77 and 262,782.41 is: 362,639.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,646.96 : 659,152.77 = 262,782.41 : x
  2. Step 2: Convert to fraction form
    477,646.96/659,152.77 = 262,782.41/x
  3. Step 3: Cross multiply
    477,646.96x = 659,152.77 × 262,782.41
  4. Step 4: Simplify right side
    477,646.96x = 173,213,753,458.78
  5. Step 5: Solve for x
    x = 173,213,753,458.78/477,646.96
  6. Step 6: Final answer
    x = 362,639.71

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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.