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Finding the Fourth Proportional to 341,638.70, 512,603.85 and 164,054.30

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Solution

The fourth proportional to 341,638.70, 512,603.85 and 164,054.30 is: 246,151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,638.70 : 512,603.85 = 164,054.30 : x
  2. Step 2: Convert to fraction form
    341,638.70/512,603.85 = 164,054.30/x
  3. Step 3: Cross multiply
    341,638.70x = 512,603.85 × 164,054.30
  4. Step 4: Simplify right side
    341,638.70x = 84,094,865,789.06
  5. Step 5: Solve for x
    x = 84,094,865,789.06/341,638.70
  6. Step 6: Final answer
    x = 246,151.46

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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.