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Finding the Fourth Proportional to 345,562.60, 476,872.74 and 194,659.24

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Solution

The fourth proportional to 345,562.60, 476,872.74 and 194,659.24 is: 268,627.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,562.60 : 476,872.74 = 194,659.24 : x
  2. Step 2: Convert to fraction form
    345,562.60/476,872.74 = 194,659.24/x
  3. Step 3: Cross multiply
    345,562.60x = 476,872.74 × 194,659.24
  4. Step 4: Simplify right side
    345,562.60x = 92,827,685,145.12
  5. Step 5: Solve for x
    x = 92,827,685,145.12/345,562.60
  6. Step 6: Final answer
    x = 268,627.70

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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.