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Finding the Fourth Proportional to 513,743.94, 708,949.22 and 284,310.93

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Solution

The fourth proportional to 513,743.94, 708,949.22 and 284,310.93 is: 392,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,743.94 : 708,949.22 = 284,310.93 : x
  2. Step 2: Convert to fraction form
    513,743.94/708,949.22 = 284,310.93/x
  3. Step 3: Cross multiply
    513,743.94x = 708,949.22 × 284,310.93
  4. Step 4: Simplify right side
    513,743.94x = 201,562,012,060.98
  5. Step 5: Solve for x
    x = 201,562,012,060.98/513,743.94
  6. Step 6: Final answer
    x = 392,339.44

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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.