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Finding the Fourth Proportional to 392,146.07, 588,206.75 and 111,663.32

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Solution

The fourth proportional to 392,146.07, 588,206.75 and 111,663.32 is: 167,491.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,146.07 : 588,206.75 = 111,663.32 : x
  2. Step 2: Convert to fraction form
    392,146.07/588,206.75 = 111,663.32/x
  3. Step 3: Cross multiply
    392,146.07x = 588,206.75 × 111,663.32
  4. Step 4: Simplify right side
    392,146.07x = 65,681,116,801.73
  5. Step 5: Solve for x
    x = 65,681,116,801.73/392,146.07
  6. Step 6: Final answer
    x = 167,491.46

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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.