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Finding the Fourth Proportional to 409,305.49, 614,056.54 and 156,581.84

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Solution

The fourth proportional to 409,305.49, 614,056.54 and 156,581.84 is: 234,910.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,305.49 : 614,056.54 = 156,581.84 : x
  2. Step 2: Convert to fraction form
    409,305.49/614,056.54 = 156,581.84/x
  3. Step 3: Cross multiply
    409,305.49x = 614,056.54 × 156,581.84
  4. Step 4: Simplify right side
    409,305.49x = 96,150,102,897.23
  5. Step 5: Solve for x
    x = 96,150,102,897.23/409,305.49
  6. Step 6: Final answer
    x = 234,910.37

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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.