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Finding the Fourth Proportional to 370,713.84, 511,584.48 and 200,950.80

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Solution

The fourth proportional to 370,713.84, 511,584.48 and 200,950.80 is: 277,311.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,713.84 : 511,584.48 = 200,950.80 : x
  2. Step 2: Convert to fraction form
    370,713.84/511,584.48 = 200,950.80/x
  3. Step 3: Cross multiply
    370,713.84x = 511,584.48 × 200,950.80
  4. Step 4: Simplify right side
    370,713.84x = 102,803,310,523.58
  5. Step 5: Solve for x
    x = 102,803,310,523.58/370,713.84
  6. Step 6: Final answer
    x = 277,311.77

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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.