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Finding the Fourth Proportional to 341,876.80, 512,815.20 and 164,729.80

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Solution

The fourth proportional to 341,876.80, 512,815.20 and 164,729.80 is: 247,094.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,876.80 : 512,815.20 = 164,729.80 : x
  2. Step 2: Convert to fraction form
    341,876.80/512,815.20 = 164,729.80/x
  3. Step 3: Cross multiply
    341,876.80x = 512,815.20 × 164,729.80
  4. Step 4: Simplify right side
    341,876.80x = 84,475,945,332.96
  5. Step 5: Solve for x
    x = 84,475,945,332.96/341,876.80
  6. Step 6: Final answer
    x = 247,094.70

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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.