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Finding the Fourth Proportional to 347,716.89, 521,649.95 and 107,825.67

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Solution

The fourth proportional to 347,716.89, 521,649.95 and 107,825.67 is: 161,761.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,716.89 : 521,649.95 = 107,825.67 : x
  2. Step 2: Convert to fraction form
    347,716.89/521,649.95 = 107,825.67/x
  3. Step 3: Cross multiply
    347,716.89x = 521,649.95 × 107,825.67
  4. Step 4: Simplify right side
    347,716.89x = 56,247,254,825.09
  5. Step 5: Solve for x
    x = 56,247,254,825.09/347,716.89
  6. Step 6: Final answer
    x = 161,761.64

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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.