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Finding the Fourth Proportional to 436,382.81, 654,567.64 and 196,327.19

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Solution

The fourth proportional to 436,382.81, 654,567.64 and 196,327.19 is: 294,487.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,382.81 : 654,567.64 = 196,327.19 : x
  2. Step 2: Convert to fraction form
    436,382.81/654,567.64 = 196,327.19/x
  3. Step 3: Cross multiply
    436,382.81x = 654,567.64 × 196,327.19
  4. Step 4: Simplify right side
    436,382.81x = 128,509,425,282.78
  5. Step 5: Solve for x
    x = 128,509,425,282.78/436,382.81
  6. Step 6: Final answer
    x = 294,487.83

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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.