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Finding the Fourth Proportional to 496,248, 684,823.05 and 269,893.50

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Solution

The fourth proportional to 496,248, 684,823.05 and 269,893.50 is: 372,453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,248 : 684,823.05 = 269,893.50 : x
  2. Step 2: Convert to fraction form
    496,248/684,823.05 = 269,893.50/x
  3. Step 3: Cross multiply
    496,248x = 684,823.05 × 269,893.50
  4. Step 4: Simplify right side
    496,248x = 184,829,289,845.18
  5. Step 5: Solve for x
    x = 184,829,289,845.18/496,248
  6. Step 6: Final answer
    x = 372,453.47

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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.