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Finding the Fourth Proportional to 341,952.72, 471,912.72 and 206,029.36

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Solution

The fourth proportional to 341,952.72, 471,912.72 and 206,029.36 is: 284,331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,952.72 : 471,912.72 = 206,029.36 : x
  2. Step 2: Convert to fraction form
    341,952.72/471,912.72 = 206,029.36/x
  3. Step 3: Cross multiply
    341,952.72x = 471,912.72 × 206,029.36
  4. Step 4: Simplify right side
    341,952.72x = 97,227,875,677.46
  5. Step 5: Solve for x
    x = 97,227,875,677.46/341,952.72
  6. Step 6: Final answer
    x = 284,331.34

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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.