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Finding the Fourth Proportional to 341,771.40, 512,657.10 and 164,624.40

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Solution

The fourth proportional to 341,771.40, 512,657.10 and 164,624.40 is: 246,936.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,771.40 : 512,657.10 = 164,624.40 : x
  2. Step 2: Convert to fraction form
    341,771.40/512,657.10 = 164,624.40/x
  3. Step 3: Cross multiply
    341,771.40x = 512,657.10 × 164,624.40
  4. Step 4: Simplify right side
    341,771.40x = 84,395,867,493.24
  5. Step 5: Solve for x
    x = 84,395,867,493.24/341,771.40
  6. Step 6: Final answer
    x = 246,936.60

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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.