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Finding the Fourth Proportional to 361,528.84, 498,851.16 and 225,541.16

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Solution

The fourth proportional to 361,528.84, 498,851.16 and 225,541.16 is: 311,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,528.84 : 498,851.16 = 225,541.16 : x
  2. Step 2: Convert to fraction form
    361,528.84/498,851.16 = 225,541.16/x
  3. Step 3: Cross multiply
    361,528.84x = 498,851.16 × 225,541.16
  4. Step 4: Simplify right side
    361,528.84x = 112,511,469,293.75
  5. Step 5: Solve for x
    x = 112,511,469,293.75/361,528.84
  6. Step 6: Final answer
    x = 311,210.22

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Why These Related Problems?

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