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Finding the Fourth Proportional to 412,536.60, 569,306.34 and 251,398.44

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Solution

The fourth proportional to 412,536.60, 569,306.34 and 251,398.44 is: 346,933.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,536.60 : 569,306.34 = 251,398.44 : x
  2. Step 2: Convert to fraction form
    412,536.60/569,306.34 = 251,398.44/x
  3. Step 3: Cross multiply
    412,536.60x = 569,306.34 × 251,398.44
  4. Step 4: Simplify right side
    412,536.60x = 143,122,725,758.11
  5. Step 5: Solve for x
    x = 143,122,725,758.11/412,536.60
  6. Step 6: Final answer
    x = 346,933.40

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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.