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Finding the Fourth Proportional to 370,383.84, 511,127.01 and 200,616.75

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Solution

The fourth proportional to 370,383.84, 511,127.01 and 200,616.75 is: 276,849.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,383.84 : 511,127.01 = 200,616.75 : x
  2. Step 2: Convert to fraction form
    370,383.84/511,127.01 = 200,616.75/x
  3. Step 3: Cross multiply
    370,383.84x = 511,127.01 × 200,616.75
  4. Step 4: Simplify right side
    370,383.84x = 102,540,639,583.42
  5. Step 5: Solve for x
    x = 102,540,639,583.42/370,383.84
  6. Step 6: Final answer
    x = 276,849.66

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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.