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Finding the Fourth Proportional to 355,271.64, 490,269.02 and 194,123.22

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Solution

The fourth proportional to 355,271.64, 490,269.02 and 194,123.22 is: 267,886.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,271.64 : 490,269.02 = 194,123.22 : x
  2. Step 2: Convert to fraction form
    355,271.64/490,269.02 = 194,123.22/x
  3. Step 3: Cross multiply
    355,271.64x = 490,269.02 × 194,123.22
  4. Step 4: Simplify right side
    355,271.64x = 95,172,599,858.03
  5. Step 5: Solve for x
    x = 95,172,599,858.03/355,271.64
  6. Step 6: Final answer
    x = 267,886.85

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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.