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Finding the Fourth Proportional to 302,665.40, 417,673.09 and 166,712.06

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Solution

The fourth proportional to 302,665.40, 417,673.09 and 166,712.06 is: 230,059.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,665.40 : 417,673.09 = 166,712.06 : x
  2. Step 2: Convert to fraction form
    302,665.40/417,673.09 = 166,712.06/x
  3. Step 3: Cross multiply
    302,665.40x = 417,673.09 × 166,712.06
  4. Step 4: Simplify right side
    302,665.40x = 69,631,141,240.47
  5. Step 5: Solve for x
    x = 69,631,141,240.47/302,665.40
  6. Step 6: Final answer
    x = 230,059.80

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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.