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Finding the Fourth Proportional to 354,288.96, 531,152.78 and 176,704.56

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Solution

The fourth proportional to 354,288.96, 531,152.78 and 176,704.56 is: 264,916.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,288.96 : 531,152.78 = 176,704.56 : x
  2. Step 2: Convert to fraction form
    354,288.96/531,152.78 = 176,704.56/x
  3. Step 3: Cross multiply
    354,288.96x = 531,152.78 × 176,704.56
  4. Step 4: Simplify right side
    354,288.96x = 93,857,117,399.15
  5. Step 5: Solve for x
    x = 93,857,117,399.15/354,288.96
  6. Step 6: Final answer
    x = 264,916.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.