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Finding the Fourth Proportional to 532,786.44, 735,246.90 and 306,417

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Solution

The fourth proportional to 532,786.44, 735,246.90 and 306,417 is: 422,856.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,786.44 : 735,246.90 = 306,417 : x
  2. Step 2: Convert to fraction form
    532,786.44/735,246.90 = 306,417/x
  3. Step 3: Cross multiply
    532,786.44x = 735,246.90 × 306,417
  4. Step 4: Simplify right side
    532,786.44x = 225,292,149,357.30
  5. Step 5: Solve for x
    x = 225,292,149,357.30/532,786.44
  6. Step 6: Final answer
    x = 422,856.39

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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.