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Finding the Fourth Proportional to 392,596.32, 588,882 and 112,113.36

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Solution

The fourth proportional to 392,596.32, 588,882 and 112,113.36 is: 168,166.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,596.32 : 588,882 = 112,113.36 : x
  2. Step 2: Convert to fraction form
    392,596.32/588,882 = 112,113.36/x
  3. Step 3: Cross multiply
    392,596.32x = 588,882 × 112,113.36
  4. Step 4: Simplify right side
    392,596.32x = 66,021,539,663.52
  5. Step 5: Solve for x
    x = 66,021,539,663.52/392,596.32
  6. Step 6: Final answer
    x = 168,166.48

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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.