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Finding the Fourth Proportional to 299,261.74, 412,991.15 and 163,303.14

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Solution

The fourth proportional to 299,261.74, 412,991.15 and 163,303.14 is: 225,363.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,261.74 : 412,991.15 = 163,303.14 : x
  2. Step 2: Convert to fraction form
    299,261.74/412,991.15 = 163,303.14/x
  3. Step 3: Cross multiply
    299,261.74x = 412,991.15 × 163,303.14
  4. Step 4: Simplify right side
    299,261.74x = 67,442,751,587.21
  5. Step 5: Solve for x
    x = 67,442,751,587.21/299,261.74
  6. Step 6: Final answer
    x = 225,363.76

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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.