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Finding the Fourth Proportional to 320,787.09, 442,719.14 and 184,826.16

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Solution

The fourth proportional to 320,787.09, 442,719.14 and 184,826.16 is: 255,079.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,787.09 : 442,719.14 = 184,826.16 : x
  2. Step 2: Convert to fraction form
    320,787.09/442,719.14 = 184,826.16/x
  3. Step 3: Cross multiply
    320,787.09x = 442,719.14 × 184,826.16
  4. Step 4: Simplify right side
    320,787.09x = 81,826,077,680.57
  5. Step 5: Solve for x
    x = 81,826,077,680.57/320,787.09
  6. Step 6: Final answer
    x = 255,079.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.