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Finding the Fourth Proportional to 415,484.84, 622,735.16 and 190,655.76

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Solution

The fourth proportional to 415,484.84, 622,735.16 and 190,655.76 is: 285,757.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,484.84 : 622,735.16 = 190,655.76 : x
  2. Step 2: Convert to fraction form
    415,484.84/622,735.16 = 190,655.76/x
  3. Step 3: Cross multiply
    415,484.84x = 622,735.16 × 190,655.76
  4. Step 4: Simplify right side
    415,484.84x = 118,728,045,208.52
  5. Step 5: Solve for x
    x = 118,728,045,208.52/415,484.84
  6. Step 6: Final answer
    x = 285,757.83

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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.