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Finding the Fourth Proportional to 293,640.20, 412,029.40 and 293,640.20

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Solution

The fourth proportional to 293,640.20, 412,029.40 and 293,640.20 is: 412,029.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,640.20 : 412,029.40 = 293,640.20 : x
  2. Step 2: Convert to fraction form
    293,640.20/412,029.40 = 293,640.20/x
  3. Step 3: Cross multiply
    293,640.20x = 412,029.40 × 293,640.20
  4. Step 4: Simplify right side
    293,640.20x = 120,988,395,421.88
  5. Step 5: Solve for x
    x = 120,988,395,421.88/293,640.20
  6. Step 6: Final answer
    x = 412,029.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.