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Finding the Fourth Proportional to 331,203.84, 457,063.20 and 180,300.48

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Solution

The fourth proportional to 331,203.84, 457,063.20 and 180,300.48 is: 248,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,203.84 : 457,063.20 = 180,300.48 : x
  2. Step 2: Convert to fraction form
    331,203.84/457,063.20 = 180,300.48/x
  3. Step 3: Cross multiply
    331,203.84x = 457,063.20 × 180,300.48
  4. Step 4: Simplify right side
    331,203.84x = 82,408,714,350.34
  5. Step 5: Solve for x
    x = 82,408,714,350.34/331,203.84
  6. Step 6: Final answer
    x = 248,815.70

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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.