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Finding the Fourth Proportional to 341,402.70, 512,104.05 and 164,255.70

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Solution

The fourth proportional to 341,402.70, 512,104.05 and 164,255.70 is: 246,383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,402.70 : 512,104.05 = 164,255.70 : x
  2. Step 2: Convert to fraction form
    341,402.70/512,104.05 = 164,255.70/x
  3. Step 3: Cross multiply
    341,402.70x = 512,104.05 × 164,255.70
  4. Step 4: Simplify right side
    341,402.70x = 84,116,009,205.59
  5. Step 5: Solve for x
    x = 84,116,009,205.59/341,402.70
  6. Step 6: Final answer
    x = 246,383.55

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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.