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Finding the Fourth Proportional to 410,646.03, 615,110.16 and 330,249.87

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Solution

The fourth proportional to 410,646.03, 615,110.16 and 330,249.87 is: 494,684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,646.03 : 615,110.16 = 330,249.87 : x
  2. Step 2: Convert to fraction form
    410,646.03/615,110.16 = 330,249.87/x
  3. Step 3: Cross multiply
    410,646.03x = 615,110.16 × 330,249.87
  4. Step 4: Simplify right side
    410,646.03x = 203,140,050,375.68
  5. Step 5: Solve for x
    x = 203,140,050,375.68/410,646.03
  6. Step 6: Final answer
    x = 494,684.07

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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.