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Finding the Fourth Proportional to 295,633.71, 407,974.91 and 168,309.30

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Solution

The fourth proportional to 295,633.71, 407,974.91 and 168,309.30 is: 232,267.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,633.71 : 407,974.91 = 168,309.30 : x
  2. Step 2: Convert to fraction form
    295,633.71/407,974.91 = 168,309.30/x
  3. Step 3: Cross multiply
    295,633.71x = 407,974.91 × 168,309.30
  4. Step 4: Simplify right side
    295,633.71x = 68,665,971,519.66
  5. Step 5: Solve for x
    x = 68,665,971,519.66/295,633.71
  6. Step 6: Final answer
    x = 232,267.06

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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.