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Finding the Fourth Proportional to 296,362.80, 408,984.80 and 167,308.54

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Solution

The fourth proportional to 296,362.80, 408,984.80 and 167,308.54 is: 230,888.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,362.80 : 408,984.80 = 167,308.54 : x
  2. Step 2: Convert to fraction form
    296,362.80/408,984.80 = 167,308.54/x
  3. Step 3: Cross multiply
    296,362.80x = 408,984.80 × 167,308.54
  4. Step 4: Simplify right side
    296,362.80x = 68,426,647,911.19
  5. Step 5: Solve for x
    x = 68,426,647,911.19/296,362.80
  6. Step 6: Final answer
    x = 230,888.11

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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.