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Finding the Fourth Proportional to 284,707.12, 427,055.28 and 85,028.08

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Solution

The fourth proportional to 284,707.12, 427,055.28 and 85,028.08 is: 127,540.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,707.12 : 427,055.28 = 85,028.08 : x
  2. Step 2: Convert to fraction form
    284,707.12/427,055.28 = 85,028.08/x
  3. Step 3: Cross multiply
    284,707.12x = 427,055.28 × 85,028.08
  4. Step 4: Simplify right side
    284,707.12x = 36,311,690,512.26
  5. Step 5: Solve for x
    x = 36,311,690,512.26/284,707.12
  6. Step 6: Final answer
    x = 127,540.51

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