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Finding the Fourth Proportional to 441,773.40, 662,660.10 and 409,296.45

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Solution

The fourth proportional to 441,773.40, 662,660.10 and 409,296.45 is: 613,944.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,773.40 : 662,660.10 = 409,296.45 : x
  2. Step 2: Convert to fraction form
    441,773.40/662,660.10 = 409,296.45/x
  3. Step 3: Cross multiply
    441,773.40x = 662,660.10 × 409,296.45
  4. Step 4: Simplify right side
    441,773.40x = 271,224,426,486.65
  5. Step 5: Solve for x
    x = 271,224,426,486.65/441,773.40
  6. Step 6: Final answer
    x = 613,944.68

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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.