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Finding the Fourth Proportional to 302,568.54, 417,541.14 and 166,599.65

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Solution

The fourth proportional to 302,568.54, 417,541.14 and 166,599.65 is: 229,905.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,568.54 : 417,541.14 = 166,599.65 : x
  2. Step 2: Convert to fraction form
    302,568.54/417,541.14 = 166,599.65/x
  3. Step 3: Cross multiply
    302,568.54x = 417,541.14 × 166,599.65
  4. Step 4: Simplify right side
    302,568.54x = 69,562,205,696.90
  5. Step 5: Solve for x
    x = 69,562,205,696.90/302,568.54
  6. Step 6: Final answer
    x = 229,905.61

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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.