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Finding the Fourth Proportional to 301,957.95, 416,794.70 and 194,527.59

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Solution

The fourth proportional to 301,957.95, 416,794.70 and 194,527.59 is: 268,507.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,957.95 : 416,794.70 = 194,527.59 : x
  2. Step 2: Convert to fraction form
    301,957.95/416,794.70 = 194,527.59/x
  3. Step 3: Cross multiply
    301,957.95x = 416,794.70 × 194,527.59
  4. Step 4: Simplify right side
    301,957.95x = 81,078,068,515.77
  5. Step 5: Solve for x
    x = 81,078,068,515.77/301,957.95
  6. Step 6: Final answer
    x = 268,507.81

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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.