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Finding the Fourth Proportional to 410,183.10, 615,274.65 and 327,239.10

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Solution

The fourth proportional to 410,183.10, 615,274.65 and 327,239.10 is: 490,858.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,183.10 : 615,274.65 = 327,239.10 : x
  2. Step 2: Convert to fraction form
    410,183.10/615,274.65 = 327,239.10/x
  3. Step 3: Cross multiply
    410,183.10x = 615,274.65 × 327,239.10
  4. Step 4: Simplify right side
    410,183.10x = 201,341,922,718.82
  5. Step 5: Solve for x
    x = 201,341,922,718.82/410,183.10
  6. Step 6: Final answer
    x = 490,858.65

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1.5x scale

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.