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Finding the Fourth Proportional to 304,076.60, 456,114.90 and 82,460.60

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Solution

The fourth proportional to 304,076.60, 456,114.90 and 82,460.60 is: 123,690.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,076.60 : 456,114.90 = 82,460.60 : x
  2. Step 2: Convert to fraction form
    304,076.60/456,114.90 = 82,460.60/x
  3. Step 3: Cross multiply
    304,076.60x = 456,114.90 × 82,460.60
  4. Step 4: Simplify right side
    304,076.60x = 37,611,508,322.94
  5. Step 5: Solve for x
    x = 37,611,508,322.94/304,076.60
  6. Step 6: Final answer
    x = 123,690.90

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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.