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Finding the Fourth Proportional to 441,830.40, 662,745.60 and 409,353.45

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Solution

The fourth proportional to 441,830.40, 662,745.60 and 409,353.45 is: 614,030.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,830.40 : 662,745.60 = 409,353.45 : x
  2. Step 2: Convert to fraction form
    441,830.40/662,745.60 = 409,353.45/x
  3. Step 3: Cross multiply
    441,830.40x = 662,745.60 × 409,353.45
  4. Step 4: Simplify right side
    441,830.40x = 271,297,197,832.32
  5. Step 5: Solve for x
    x = 271,297,197,832.32/441,830.40
  6. Step 6: Final answer
    x = 614,030.18

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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.