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Finding the Fourth Proportional to 299,914.60, 449,871.90 and 286,090.60

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Solution

The fourth proportional to 299,914.60, 449,871.90 and 286,090.60 is: 429,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,914.60 : 449,871.90 = 286,090.60 : x
  2. Step 2: Convert to fraction form
    299,914.60/449,871.90 = 286,090.60/x
  3. Step 3: Cross multiply
    299,914.60x = 449,871.90 × 286,090.60
  4. Step 4: Simplify right side
    299,914.60x = 128,704,121,794.14
  5. Step 5: Solve for x
    x = 128,704,121,794.14/299,914.60
  6. Step 6: Final answer
    x = 429,135.90

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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.