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Finding the Fourth Proportional to 302,969.21, 418,097.39 and 167,005.41

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Solution

The fourth proportional to 302,969.21, 418,097.39 and 167,005.41 is: 230,467.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,969.21 : 418,097.39 = 167,005.41 : x
  2. Step 2: Convert to fraction form
    302,969.21/418,097.39 = 167,005.41/x
  3. Step 3: Cross multiply
    302,969.21x = 418,097.39 × 167,005.41
  4. Step 4: Simplify right side
    302,969.21x = 69,824,523,633.99
  5. Step 5: Solve for x
    x = 69,824,523,633.99/302,969.21
  6. Step 6: Final answer
    x = 230,467.40

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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.