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Finding the Fourth Proportional to 302,620.52, 417,608.74 and 166,653.40

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Solution

The fourth proportional to 302,620.52, 417,608.74 and 166,653.40 is: 229,977.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,620.52 : 417,608.74 = 166,653.40 : x
  2. Step 2: Convert to fraction form
    302,620.52/417,608.74 = 166,653.40/x
  3. Step 3: Cross multiply
    302,620.52x = 417,608.74 × 166,653.40
  4. Step 4: Simplify right side
    302,620.52x = 69,595,916,390.72
  5. Step 5: Solve for x
    x = 69,595,916,390.72/302,620.52
  6. Step 6: Final answer
    x = 229,977.52

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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.