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Finding the Fourth Proportional to 410,462.40, 615,650.24 and 194,269.34

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Solution

The fourth proportional to 410,462.40, 615,650.24 and 194,269.34 is: 291,383.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,462.40 : 615,650.24 = 194,269.34 : x
  2. Step 2: Convert to fraction form
    410,462.40/615,650.24 = 194,269.34/x
  3. Step 3: Cross multiply
    410,462.40x = 615,650.24 × 194,269.34
  4. Step 4: Simplify right side
    410,462.40x = 119,601,965,795.64
  5. Step 5: Solve for x
    x = 119,601,965,795.64/410,462.40
  6. Step 6: Final answer
    x = 291,383.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.