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Finding the Fourth Proportional to 441,090.40, 661,311.60 and 174,719.20

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Solution

The fourth proportional to 441,090.40, 661,311.60 and 174,719.20 is: 261,950.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,090.40 : 661,311.60 = 174,719.20 : x
  2. Step 2: Convert to fraction form
    441,090.40/661,311.60 = 174,719.20/x
  3. Step 3: Cross multiply
    441,090.40x = 661,311.60 × 174,719.20
  4. Step 4: Simplify right side
    441,090.40x = 115,543,833,702.72
  5. Step 5: Solve for x
    x = 115,543,833,702.72/441,090.40
  6. Step 6: Final answer
    x = 261,950.46

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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.