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Finding the Fourth Proportional to 477,305.94, 716,148.45 and 196,757.58

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Solution

The fourth proportional to 477,305.94, 716,148.45 and 196,757.58 is: 295,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,305.94 : 716,148.45 = 196,757.58 : x
  2. Step 2: Convert to fraction form
    477,305.94/716,148.45 = 196,757.58/x
  3. Step 3: Cross multiply
    477,305.94x = 716,148.45 × 196,757.58
  4. Step 4: Simplify right side
    477,305.94x = 140,907,635,942.75
  5. Step 5: Solve for x
    x = 140,907,635,942.75/477,305.94
  6. Step 6: Final answer
    x = 295,214.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.