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Finding the Fourth Proportional to 300,079.26, 412,377.44 and 286,202.34

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Solution

The fourth proportional to 300,079.26, 412,377.44 and 286,202.34 is: 393,307.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,079.26 : 412,377.44 = 286,202.34 : x
  2. Step 2: Convert to fraction form
    300,079.26/412,377.44 = 286,202.34/x
  3. Step 3: Cross multiply
    300,079.26x = 412,377.44 × 286,202.34
  4. Step 4: Simplify right side
    300,079.26x = 118,023,386,860.20
  5. Step 5: Solve for x
    x = 118,023,386,860.20/300,079.26
  6. Step 6: Final answer
    x = 393,307.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.