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Finding the Fourth Proportional to 525,986.56, 725,684.16 and 299,471.68

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Solution

The fourth proportional to 525,986.56, 725,684.16 and 299,471.68 is: 413,169.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,986.56 : 725,684.16 = 299,471.68 : x
  2. Step 2: Convert to fraction form
    525,986.56/725,684.16 = 299,471.68/x
  3. Step 3: Cross multiply
    525,986.56x = 725,684.16 × 299,471.68
  4. Step 4: Simplify right side
    525,986.56x = 217,321,854,544.59
  5. Step 5: Solve for x
    x = 217,321,854,544.59/525,986.56
  6. Step 6: Final answer
    x = 413,169.98

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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.