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Finding the Fourth Proportional to 297,971.48, 411,208.70 and 162,014.56

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Solution

The fourth proportional to 297,971.48, 411,208.70 and 162,014.56 is: 223,584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,971.48 : 411,208.70 = 162,014.56 : x
  2. Step 2: Convert to fraction form
    297,971.48/411,208.70 = 162,014.56/x
  3. Step 3: Cross multiply
    297,971.48x = 411,208.70 × 162,014.56
  4. Step 4: Simplify right side
    297,971.48x = 66,621,796,598.67
  5. Step 5: Solve for x
    x = 66,621,796,598.67/297,971.48
  6. Step 6: Final answer
    x = 223,584.47

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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.