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Finding the Fourth Proportional to 296,740.68, 409,278.90 and 206,096.76

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Solution

The fourth proportional to 296,740.68, 409,278.90 and 206,096.76 is: 284,258.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,740.68 : 409,278.90 = 206,096.76 : x
  2. Step 2: Convert to fraction form
    296,740.68/409,278.90 = 206,096.76/x
  3. Step 3: Cross multiply
    296,740.68x = 409,278.90 × 206,096.76
  4. Step 4: Simplify right side
    296,740.68x = 84,351,055,226.36
  5. Step 5: Solve for x
    x = 84,351,055,226.36/296,740.68
  6. Step 6: Final answer
    x = 284,258.48

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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.