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Finding the Fourth Proportional to 301,956.95, 416,793.32 and 194,526.59

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Solution

The fourth proportional to 301,956.95, 416,793.32 and 194,526.59 is: 268,506.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,956.95 : 416,793.32 = 194,526.59 : x
  2. Step 2: Convert to fraction form
    301,956.95/416,793.32 = 194,526.59/x
  3. Step 3: Cross multiply
    301,956.95x = 416,793.32 × 194,526.59
  4. Step 4: Simplify right side
    301,956.95x = 81,077,382,301.75
  5. Step 5: Solve for x
    x = 81,077,382,301.75/301,956.95
  6. Step 6: Final answer
    x = 268,506.43

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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.