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Finding the Fourth Proportional to 525,716.06, 725,487.44 and 299,361.56

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Solution

The fourth proportional to 525,716.06, 725,487.44 and 299,361.56 is: 413,118.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,716.06 : 725,487.44 = 299,361.56 : x
  2. Step 2: Convert to fraction form
    525,716.06/725,487.44 = 299,361.56/x
  3. Step 3: Cross multiply
    525,716.06x = 725,487.44 × 299,361.56
  4. Step 4: Simplify right side
    525,716.06x = 217,183,051,798.81
  5. Step 5: Solve for x
    x = 217,183,051,798.81/525,716.06
  6. Step 6: Final answer
    x = 413,118.54

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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.