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Finding the Fourth Proportional to 284,906.51, 427,505.56 and 116,551.25

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Solution

The fourth proportional to 284,906.51, 427,505.56 and 116,551.25 is: 174,886.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,906.51 : 427,505.56 = 116,551.25 : x
  2. Step 2: Convert to fraction form
    284,906.51/427,505.56 = 116,551.25/x
  3. Step 3: Cross multiply
    284,906.51x = 427,505.56 × 116,551.25
  4. Step 4: Simplify right side
    284,906.51x = 49,826,307,399.95
  5. Step 5: Solve for x
    x = 49,826,307,399.95/284,906.51
  6. Step 6: Final answer
    x = 174,886.52

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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.