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Finding the Fourth Proportional to 299,260.74, 412,989.77 and 163,302.14

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Solution

The fourth proportional to 299,260.74, 412,989.77 and 163,302.14 is: 225,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,260.74 : 412,989.77 = 163,302.14 : x
  2. Step 2: Convert to fraction form
    299,260.74/412,989.77 = 163,302.14/x
  3. Step 3: Cross multiply
    299,260.74x = 412,989.77 × 163,302.14
  4. Step 4: Simplify right side
    299,260.74x = 67,442,114,679.84
  5. Step 5: Solve for x
    x = 67,442,114,679.84/299,260.74
  6. Step 6: Final answer
    x = 225,362.39

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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.