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Finding the Fourth Proportional to 496,152, 684,689.75 and 281,292.06

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Solution

The fourth proportional to 496,152, 684,689.75 and 281,292.06 is: 388,183.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,152 : 684,689.75 = 281,292.06 : x
  2. Step 2: Convert to fraction form
    496,152/684,689.75 = 281,292.06/x
  3. Step 3: Cross multiply
    496,152x = 684,689.75 × 281,292.06
  4. Step 4: Simplify right side
    496,152x = 192,597,790,238.39
  5. Step 5: Solve for x
    x = 192,597,790,238.39/496,152
  6. Step 6: Final answer
    x = 388,183.04

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Why These Related Problems?

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