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Finding the Fourth Proportional to 302,662.81, 417,677.58 and 166,699.84

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Solution

The fourth proportional to 302,662.81, 417,677.58 and 166,699.84 is: 230,047.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,662.81 : 417,677.58 = 166,699.84 : x
  2. Step 2: Convert to fraction form
    302,662.81/417,677.58 = 166,699.84/x
  3. Step 3: Cross multiply
    302,662.81x = 417,677.58 × 166,699.84
  4. Step 4: Simplify right side
    302,662.81x = 69,626,785,757.59
  5. Step 5: Solve for x
    x = 69,626,785,757.59/302,662.81
  6. Step 6: Final answer
    x = 230,047.38

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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.