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Finding the Fourth Proportional to 411,027.40, 616,080.30 and 211,270.60

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Solution

The fourth proportional to 411,027.40, 616,080.30 and 211,270.60 is: 316,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,027.40 : 616,080.30 = 211,270.60 : x
  2. Step 2: Convert to fraction form
    411,027.40/616,080.30 = 211,270.60/x
  3. Step 3: Cross multiply
    411,027.40x = 616,080.30 × 211,270.60
  4. Step 4: Simplify right side
    411,027.40x = 130,159,654,629.18
  5. Step 5: Solve for x
    x = 130,159,654,629.18/411,027.40
  6. Step 6: Final answer
    x = 316,669.05

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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.