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Finding the Fourth Proportional to 532,383.68, 734,658 and 306,029.44

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Solution

The fourth proportional to 532,383.68, 734,658 and 306,029.44 is: 422,302.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,383.68 : 734,658 = 306,029.44 : x
  2. Step 2: Convert to fraction form
    532,383.68/734,658 = 306,029.44/x
  3. Step 3: Cross multiply
    532,383.68x = 734,658 × 306,029.44
  4. Step 4: Simplify right side
    532,383.68x = 224,826,976,331.52
  5. Step 5: Solve for x
    x = 224,826,976,331.52/532,383.68
  6. Step 6: Final answer
    x = 422,302.53

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