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Finding the Fourth Proportional to 509,361.65, 702,923.24 and 318,485.69

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Solution

The fourth proportional to 509,361.65, 702,923.24 and 318,485.69 is: 439,512.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,361.65 : 702,923.24 = 318,485.69 : x
  2. Step 2: Convert to fraction form
    509,361.65/702,923.24 = 318,485.69/x
  3. Step 3: Cross multiply
    509,361.65x = 702,923.24 × 318,485.69
  4. Step 4: Simplify right side
    509,361.65x = 223,870,993,108.44
  5. Step 5: Solve for x
    x = 223,870,993,108.44/509,361.65
  6. Step 6: Final answer
    x = 439,512.86

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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.