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Finding the Fourth Proportional to 304,872.20, 456,530.70 and 242,664.20

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Solution

The fourth proportional to 304,872.20, 456,530.70 and 242,664.20 is: 363,377.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,872.20 : 456,530.70 = 242,664.20 : x
  2. Step 2: Convert to fraction form
    304,872.20/456,530.70 = 242,664.20/x
  3. Step 3: Cross multiply
    304,872.20x = 456,530.70 × 242,664.20
  4. Step 4: Simplify right side
    304,872.20x = 110,783,657,090.94
  5. Step 5: Solve for x
    x = 110,783,657,090.94/304,872.20
  6. Step 6: Final answer
    x = 363,377.37

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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.