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Finding the Fourth Proportional to 502,956, 693,664.56 and 301,609.44

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Solution

The fourth proportional to 502,956, 693,664.56 and 301,609.44 is: 415,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,956 : 693,664.56 = 301,609.44 : x
  2. Step 2: Convert to fraction form
    502,956/693,664.56 = 301,609.44/x
  3. Step 3: Cross multiply
    502,956x = 693,664.56 × 301,609.44
  4. Step 4: Simplify right side
    502,956x = 209,215,779,489.45
  5. Step 5: Solve for x
    x = 209,215,779,489.45/502,956
  6. Step 6: Final answer
    x = 415,972.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.