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Finding the Fourth Proportional to 349,765.70, 523,562.52 and 189,443.44

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Solution

The fourth proportional to 349,765.70, 523,562.52 and 189,443.44 is: 283,576.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,765.70 : 523,562.52 = 189,443.44 : x
  2. Step 2: Convert to fraction form
    349,765.70/523,562.52 = 189,443.44/x
  3. Step 3: Cross multiply
    349,765.70x = 523,562.52 × 189,443.44
  4. Step 4: Simplify right side
    349,765.70x = 99,185,484,843.87
  5. Step 5: Solve for x
    x = 99,185,484,843.87/349,765.70
  6. Step 6: Final answer
    x = 283,576.93

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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.