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Finding the Fourth Proportional to 298,014.40, 411,257.65 and 162,048.43

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Solution

The fourth proportional to 298,014.40, 411,257.65 and 162,048.43 is: 223,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,014.40 : 411,257.65 = 162,048.43 : x
  2. Step 2: Convert to fraction form
    298,014.40/411,257.65 = 162,048.43/x
  3. Step 3: Cross multiply
    298,014.40x = 411,257.65 × 162,048.43
  4. Step 4: Simplify right side
    298,014.40x = 66,643,656,507.99
  5. Step 5: Solve for x
    x = 66,643,656,507.99/298,014.40
  6. Step 6: Final answer
    x = 223,625.63

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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.