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Finding the Fourth Proportional to 315,232.56, 434,616.72 and 229,120.80

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Solution

The fourth proportional to 315,232.56, 434,616.72 and 229,120.80 is: 315,892.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,232.56 : 434,616.72 = 229,120.80 : x
  2. Step 2: Convert to fraction form
    315,232.56/434,616.72 = 229,120.80/x
  3. Step 3: Cross multiply
    315,232.56x = 434,616.72 × 229,120.80
  4. Step 4: Simplify right side
    315,232.56x = 99,579,730,579.78
  5. Step 5: Solve for x
    x = 99,579,730,579.78/315,232.56
  6. Step 6: Final answer
    x = 315,892.91

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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.