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Finding the Fourth Proportional to 404,461.60, 606,692.40 and 271,405.60

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Solution

The fourth proportional to 404,461.60, 606,692.40 and 271,405.60 is: 407,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,461.60 : 606,692.40 = 271,405.60 : x
  2. Step 2: Convert to fraction form
    404,461.60/606,692.40 = 271,405.60/x
  3. Step 3: Cross multiply
    404,461.60x = 606,692.40 × 271,405.60
  4. Step 4: Simplify right side
    404,461.60x = 164,659,714,837.44
  5. Step 5: Solve for x
    x = 164,659,714,837.44/404,461.60
  6. Step 6: Final answer
    x = 407,108.40

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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.