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Finding the Fourth Proportional to 392,336, 588,505.44 and 96,848

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Solution

The fourth proportional to 392,336, 588,505.44 and 96,848 is: 145,272.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,336 : 588,505.44 = 96,848 : x
  2. Step 2: Convert to fraction form
    392,336/588,505.44 = 96,848/x
  3. Step 3: Cross multiply
    392,336x = 588,505.44 × 96,848
  4. Step 4: Simplify right side
    392,336x = 56,995,574,853.12
  5. Step 5: Solve for x
    x = 56,995,574,853.12/392,336
  6. Step 6: Final answer
    x = 145,272.36

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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.