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Finding the Fourth Proportional to 377,293.16, 564,993.32 and 225,396.56

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Solution

The fourth proportional to 377,293.16, 564,993.32 and 225,396.56 is: 337,529.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,293.16 : 564,993.32 = 225,396.56 : x
  2. Step 2: Convert to fraction form
    377,293.16/564,993.32 = 225,396.56/x
  3. Step 3: Cross multiply
    377,293.16x = 564,993.32 × 225,396.56
  4. Step 4: Simplify right side
    377,293.16x = 127,347,550,750.98
  5. Step 5: Solve for x
    x = 127,347,550,750.98/377,293.16
  6. Step 6: Final answer
    x = 337,529.44

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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.