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Finding the Fourth Proportional to 361,901.42, 499,414.26 and 208,934.46

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Solution

The fourth proportional to 361,901.42, 499,414.26 and 208,934.46 is: 288,323.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,901.42 : 499,414.26 = 208,934.46 : x
  2. Step 2: Convert to fraction form
    361,901.42/499,414.26 = 208,934.46/x
  3. Step 3: Cross multiply
    361,901.42x = 499,414.26 × 208,934.46
  4. Step 4: Simplify right side
    361,901.42x = 104,344,848,729.40
  5. Step 5: Solve for x
    x = 104,344,848,729.40/361,901.42
  6. Step 6: Final answer
    x = 288,323.95

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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.