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Finding the Fourth Proportional to 441,774.40, 662,661.60 and 409,297.45

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Solution

The fourth proportional to 441,774.40, 662,661.60 and 409,297.45 is: 613,946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,774.40 : 662,661.60 = 409,297.45 : x
  2. Step 2: Convert to fraction form
    441,774.40/662,661.60 = 409,297.45/x
  3. Step 3: Cross multiply
    441,774.40x = 662,661.60 × 409,297.45
  4. Step 4: Simplify right side
    441,774.40x = 271,225,703,092.92
  5. Step 5: Solve for x
    x = 271,225,703,092.92/441,774.40
  6. Step 6: Final answer
    x = 613,946.18

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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.