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Finding the Fourth Proportional to 284,969.15, 427,295.77 and 116,607.51

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Solution

The fourth proportional to 284,969.15, 427,295.77 and 116,607.51 is: 174,846.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,969.15 : 427,295.77 = 116,607.51 : x
  2. Step 2: Convert to fraction form
    284,969.15/427,295.77 = 116,607.51/x
  3. Step 3: Cross multiply
    284,969.15x = 427,295.77 × 116,607.51
  4. Step 4: Simplify right side
    284,969.15x = 49,825,895,481.71
  5. Step 5: Solve for x
    x = 49,825,895,481.71/284,969.15
  6. Step 6: Final answer
    x = 174,846.63

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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.