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Finding the Fourth Proportional to 409,425.52, 613,722.20 and 169,669.84

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Solution

The fourth proportional to 409,425.52, 613,722.20 and 169,669.84 is: 254,332.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,425.52 : 613,722.20 = 169,669.84 : x
  2. Step 2: Convert to fraction form
    409,425.52/613,722.20 = 169,669.84/x
  3. Step 3: Cross multiply
    409,425.52x = 613,722.20 × 169,669.84
  4. Step 4: Simplify right side
    409,425.52x = 104,130,147,478.45
  5. Step 5: Solve for x
    x = 104,130,147,478.45/409,425.52
  6. Step 6: Final answer
    x = 254,332.33

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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.