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Finding the Fourth Proportional to 409,669.34, 614,504.00 and 129,208.46

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Solution

The fourth proportional to 409,669.34, 614,504.00 and 129,208.46 is: 193,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,669.34 : 614,504.00 = 129,208.46 : x
  2. Step 2: Convert to fraction form
    409,669.34/614,504.00 = 129,208.46/x
  3. Step 3: Cross multiply
    409,669.34x = 614,504.00 × 129,208.46
  4. Step 4: Simplify right side
    409,669.34x = 79,399,112,754.34
  5. Step 5: Solve for x
    x = 79,399,112,754.34/409,669.34
  6. Step 6: Final answer
    x = 193,812.68

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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.