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Finding the Fourth Proportional to 302,602.23, 417,587.67 and 166,633.47

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Solution

The fourth proportional to 302,602.23, 417,587.67 and 166,633.47 is: 229,952.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,602.23 : 417,587.67 = 166,633.47 : x
  2. Step 2: Convert to fraction form
    302,602.23/417,587.67 = 166,633.47/x
  3. Step 3: Cross multiply
    302,602.23x = 417,587.67 × 166,633.47
  4. Step 4: Simplify right side
    302,602.23x = 69,584,082,481.31
  5. Step 5: Solve for x
    x = 69,584,082,481.31/302,602.23
  6. Step 6: Final answer
    x = 229,952.31

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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.