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Finding the Fourth Proportional to 410,018.60, 615,027.90 and 327,074.60

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Solution

The fourth proportional to 410,018.60, 615,027.90 and 327,074.60 is: 490,611.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,018.60 : 615,027.90 = 327,074.60 : x
  2. Step 2: Convert to fraction form
    410,018.60/615,027.90 = 327,074.60/x
  3. Step 3: Cross multiply
    410,018.60x = 615,027.90 × 327,074.60
  4. Step 4: Simplify right side
    410,018.60x = 201,160,004,381.34
  5. Step 5: Solve for x
    x = 201,160,004,381.34/410,018.60
  6. Step 6: Final answer
    x = 490,611.90

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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.