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Finding the Fourth Proportional to 296,673.28, 409,102.32 and 206,131.84

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Solution

The fourth proportional to 296,673.28, 409,102.32 and 206,131.84 is: 284,248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,673.28 : 409,102.32 = 206,131.84 : x
  2. Step 2: Convert to fraction form
    296,673.28/409,102.32 = 206,131.84/x
  3. Step 3: Cross multiply
    296,673.28x = 409,102.32 × 206,131.84
  4. Step 4: Simplify right side
    296,673.28x = 84,329,013,969.87
  5. Step 5: Solve for x
    x = 84,329,013,969.87/296,673.28
  6. Step 6: Final answer
    x = 284,248.77

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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.