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Finding the Fourth Proportional to 299,928.12, 411,697.63 and 265,175.33

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Solution

The fourth proportional to 299,928.12, 411,697.63 and 265,175.33 is: 363,994.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,928.12 : 411,697.63 = 265,175.33 : x
  2. Step 2: Convert to fraction form
    299,928.12/411,697.63 = 265,175.33/x
  3. Step 3: Cross multiply
    299,928.12x = 411,697.63 × 265,175.33
  4. Step 4: Simplify right side
    299,928.12x = 109,172,053,168.45
  5. Step 5: Solve for x
    x = 109,172,053,168.45/299,928.12
  6. Step 6: Final answer
    x = 363,994.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.