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Finding the Fourth Proportional to 496,047.46, 684,568.92 and 281,191.72

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Solution

The fourth proportional to 496,047.46, 684,568.92 and 281,191.72 is: 388,057.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,047.46 : 684,568.92 = 281,191.72 : x
  2. Step 2: Convert to fraction form
    496,047.46/684,568.92 = 281,191.72/x
  3. Step 3: Cross multiply
    496,047.46x = 684,568.92 × 281,191.72
  4. Step 4: Simplify right side
    496,047.46x = 192,495,112,073.34
  5. Step 5: Solve for x
    x = 192,495,112,073.34/496,047.46
  6. Step 6: Final answer
    x = 388,057.85

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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.