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Finding the Fourth Proportional to 302,578.98, 417,542.46 and 166,587.10

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Solution

The fourth proportional to 302,578.98, 417,542.46 and 166,587.10 is: 229,881.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,578.98 : 417,542.46 = 166,587.10 : x
  2. Step 2: Convert to fraction form
    302,578.98/417,542.46 = 166,587.10/x
  3. Step 3: Cross multiply
    302,578.98x = 417,542.46 × 166,587.10
  4. Step 4: Simplify right side
    302,578.98x = 69,557,187,538.27
  5. Step 5: Solve for x
    x = 69,557,187,538.27/302,578.98
  6. Step 6: Final answer
    x = 229,881.10

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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.