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Finding the Fourth Proportional to 351,472.60, 527,435.70 and 193,814.20

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Solution

The fourth proportional to 351,472.60, 527,435.70 and 193,814.20 is: 290,846.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,472.60 : 527,435.70 = 193,814.20 : x
  2. Step 2: Convert to fraction form
    351,472.60/527,435.70 = 193,814.20/x
  3. Step 3: Cross multiply
    351,472.60x = 527,435.70 × 193,814.20
  4. Step 4: Simplify right side
    351,472.60x = 102,224,528,246.94
  5. Step 5: Solve for x
    x = 102,224,528,246.94/351,472.60
  6. Step 6: Final answer
    x = 290,846.37

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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.