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Finding the Fourth Proportional to 399,180.84, 598,958.04 and 174,512.16

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Solution

The fourth proportional to 399,180.84, 598,958.04 and 174,512.16 is: 261,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,180.84 : 598,958.04 = 174,512.16 : x
  2. Step 2: Convert to fraction form
    399,180.84/598,958.04 = 174,512.16/x
  3. Step 3: Cross multiply
    399,180.84x = 598,958.04 × 174,512.16
  4. Step 4: Simplify right side
    399,180.84x = 104,525,461,309.77
  5. Step 5: Solve for x
    x = 104,525,461,309.77/399,180.84
  6. Step 6: Final answer
    x = 261,849.90

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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.