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Finding the Fourth Proportional to 392,330, 588,496.44 and 96,842

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Solution

The fourth proportional to 392,330, 588,496.44 and 96,842 is: 145,263.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,330 : 588,496.44 = 96,842 : x
  2. Step 2: Convert to fraction form
    392,330/588,496.44 = 96,842/x
  3. Step 3: Cross multiply
    392,330x = 588,496.44 × 96,842
  4. Step 4: Simplify right side
    392,330x = 56,991,172,242.48
  5. Step 5: Solve for x
    x = 56,991,172,242.48/392,330
  6. Step 6: Final answer
    x = 145,263.36

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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.