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Finding the Fourth Proportional to 355,422.42, 490,482.96 and 194,278.10

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Solution

The fourth proportional to 355,422.42, 490,482.96 and 194,278.10 is: 268,103.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,422.42 : 490,482.96 = 194,278.10 : x
  2. Step 2: Convert to fraction form
    355,422.42/490,482.96 = 194,278.10/x
  3. Step 3: Cross multiply
    355,422.42x = 490,482.96 × 194,278.10
  4. Step 4: Simplify right side
    355,422.42x = 95,290,097,551.18
  5. Step 5: Solve for x
    x = 95,290,097,551.18/355,422.42
  6. Step 6: Final answer
    x = 268,103.79

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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.