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Finding the Fourth Proportional to 341,493.60, 512,240.40 and 164,346.60

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Solution

The fourth proportional to 341,493.60, 512,240.40 and 164,346.60 is: 246,519.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,493.60 : 512,240.40 = 164,346.60 : x
  2. Step 2: Convert to fraction form
    341,493.60/512,240.40 = 164,346.60/x
  3. Step 3: Cross multiply
    341,493.60x = 512,240.40 × 164,346.60
  4. Step 4: Simplify right side
    341,493.60x = 84,184,968,122.64
  5. Step 5: Solve for x
    x = 84,184,968,122.64/341,493.60
  6. Step 6: Final answer
    x = 246,519.90

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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.