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Finding the Fourth Proportional to 294,355.04, 406,198.68 and 167,023.04

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Solution

The fourth proportional to 294,355.04, 406,198.68 and 167,023.04 is: 230,485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,355.04 : 406,198.68 = 167,023.04 : x
  2. Step 2: Convert to fraction form
    294,355.04/406,198.68 = 167,023.04/x
  3. Step 3: Cross multiply
    294,355.04x = 406,198.68 × 167,023.04
  4. Step 4: Simplify right side
    294,355.04x = 67,844,538,377.59
  5. Step 5: Solve for x
    x = 67,844,538,377.59/294,355.04
  6. Step 6: Final answer
    x = 230,485.40

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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.