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Finding the Fourth Proportional to 300,047.68, 413,689.44 and 192,427.84

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Solution

The fourth proportional to 300,047.68, 413,689.44 and 192,427.84 is: 265,309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,047.68 : 413,689.44 = 192,427.84 : x
  2. Step 2: Convert to fraction form
    300,047.68/413,689.44 = 192,427.84/x
  3. Step 3: Cross multiply
    300,047.68x = 413,689.44 × 192,427.84
  4. Step 4: Simplify right side
    300,047.68x = 79,605,365,370.01
  5. Step 5: Solve for x
    x = 79,605,365,370.01/300,047.68
  6. Step 6: Final answer
    x = 265,309.05

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1.5x scale

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.