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Finding the Fourth Proportional to 305,914.80, 458,872.20 and 242,929.20

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Solution

The fourth proportional to 305,914.80, 458,872.20 and 242,929.20 is: 364,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,914.80 : 458,872.20 = 242,929.20 : x
  2. Step 2: Convert to fraction form
    305,914.80/458,872.20 = 242,929.20/x
  3. Step 3: Cross multiply
    305,914.80x = 458,872.20 × 242,929.20
  4. Step 4: Simplify right side
    305,914.80x = 111,473,456,448.24
  5. Step 5: Solve for x
    x = 111,473,456,448.24/305,914.80
  6. Step 6: Final answer
    x = 364,393.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.