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Finding the Fourth Proportional to 428,602.82, 642,772.99 and 296,333.06

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Solution

The fourth proportional to 428,602.82, 642,772.99 and 296,333.06 is: 444,408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,602.82 : 642,772.99 = 296,333.06 : x
  2. Step 2: Convert to fraction form
    428,602.82/642,772.99 = 296,333.06/x
  3. Step 3: Cross multiply
    428,602.82x = 642,772.99 × 296,333.06
  4. Step 4: Simplify right side
    428,602.82x = 190,474,885,530.38
  5. Step 5: Solve for x
    x = 190,474,885,530.38/428,602.82
  6. Step 6: Final answer
    x = 444,408.85

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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.