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Finding the Fourth Proportional to 410,474.49, 615,554.84 and 197,181.64

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Solution

The fourth proportional to 410,474.49, 615,554.84 and 197,181.64 is: 295,697.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,474.49 : 615,554.84 = 197,181.64 : x
  2. Step 2: Convert to fraction form
    410,474.49/615,554.84 = 197,181.64/x
  3. Step 3: Cross multiply
    410,474.49x = 615,554.84 × 197,181.64
  4. Step 4: Simplify right side
    410,474.49x = 121,376,114,123.54
  5. Step 5: Solve for x
    x = 121,376,114,123.54/410,474.49
  6. Step 6: Final answer
    x = 295,697.10

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Why These Related Problems?

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