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Finding the Fourth Proportional to 304,314.88, 456,580.24 and 135,819.84

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Solution

The fourth proportional to 304,314.88, 456,580.24 and 135,819.84 is: 203,777.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,314.88 : 456,580.24 = 135,819.84 : x
  2. Step 2: Convert to fraction form
    304,314.88/456,580.24 = 135,819.84/x
  3. Step 3: Cross multiply
    304,314.88x = 456,580.24 × 135,819.84
  4. Step 4: Simplify right side
    304,314.88x = 62,012,655,143.96
  5. Step 5: Solve for x
    x = 62,012,655,143.96/304,314.88
  6. Step 6: Final answer
    x = 203,777.93

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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.