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Finding the Fourth Proportional to 411,090.60, 616,635.90 and 201,138.60

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Solution

The fourth proportional to 411,090.60, 616,635.90 and 201,138.60 is: 301,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,090.60 : 616,635.90 = 201,138.60 : x
  2. Step 2: Convert to fraction form
    411,090.60/616,635.90 = 201,138.60/x
  3. Step 3: Cross multiply
    411,090.60x = 616,635.90 × 201,138.60
  4. Step 4: Simplify right side
    411,090.60x = 124,029,281,635.74
  5. Step 5: Solve for x
    x = 124,029,281,635.74/411,090.60
  6. Step 6: Final answer
    x = 301,707.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.