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Finding the Fourth Proportional to 296,410.96, 409,047.24 and 162,274.96

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Solution

The fourth proportional to 296,410.96, 409,047.24 and 162,274.96 is: 223,939.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,410.96 : 409,047.24 = 162,274.96 : x
  2. Step 2: Convert to fraction form
    296,410.96/409,047.24 = 162,274.96/x
  3. Step 3: Cross multiply
    296,410.96x = 409,047.24 × 162,274.96
  4. Step 4: Simplify right side
    296,410.96x = 66,378,124,509.11
  5. Step 5: Solve for x
    x = 66,378,124,509.11/296,410.96
  6. Step 6: Final answer
    x = 223,939.51

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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.