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Finding the Fourth Proportional to 433,883.92, 651,285.96 and 384,286

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Solution

The fourth proportional to 433,883.92, 651,285.96 and 384,286 is: 576,836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,883.92 : 651,285.96 = 384,286 : x
  2. Step 2: Convert to fraction form
    433,883.92/651,285.96 = 384,286/x
  3. Step 3: Cross multiply
    433,883.92x = 651,285.96 × 384,286
  4. Step 4: Simplify right side
    433,883.92x = 250,280,076,424.56
  5. Step 5: Solve for x
    x = 250,280,076,424.56/433,883.92
  6. Step 6: Final answer
    x = 576,836.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.