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Finding the Fourth Proportional to 298,993.30, 412,603.13 and 163,027.51

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Solution

The fourth proportional to 298,993.30, 412,603.13 and 163,027.51 is: 224,973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,993.30 : 412,603.13 = 163,027.51 : x
  2. Step 2: Convert to fraction form
    298,993.30/412,603.13 = 163,027.51/x
  3. Step 3: Cross multiply
    298,993.30x = 412,603.13 × 163,027.51
  4. Step 4: Simplify right side
    298,993.30x = 67,265,660,278.17
  5. Step 5: Solve for x
    x = 67,265,660,278.17/298,993.30
  6. Step 6: Final answer
    x = 224,973.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.