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Finding the Fourth Proportional to 496,046.46, 684,567.54 and 281,190.72

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Solution

The fourth proportional to 496,046.46, 684,567.54 and 281,190.72 is: 388,056.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,046.46 : 684,567.54 = 281,190.72 : x
  2. Step 2: Convert to fraction form
    496,046.46/684,567.54 = 281,190.72/x
  3. Step 3: Cross multiply
    496,046.46x = 684,567.54 × 281,190.72
  4. Step 4: Simplify right side
    496,046.46x = 192,494,039,461.23
  5. Step 5: Solve for x
    x = 192,494,039,461.23/496,046.46
  6. Step 6: Final answer
    x = 388,056.47

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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.