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Finding the Fourth Proportional to 424,276.56, 584,898.57 and 337,474.26

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Solution

The fourth proportional to 424,276.56, 584,898.57 and 337,474.26 is: 465,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,276.56 : 584,898.57 = 337,474.26 : x
  2. Step 2: Convert to fraction form
    424,276.56/584,898.57 = 337,474.26/x
  3. Step 3: Cross multiply
    424,276.56x = 584,898.57 × 337,474.26
  4. Step 4: Simplify right side
    424,276.56x = 197,388,212,085.81
  5. Step 5: Solve for x
    x = 197,388,212,085.81/424,276.56
  6. Step 6: Final answer
    x = 465,234.78

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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.