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Finding the Fourth Proportional to 392,388, 588,587.54 and 111,905.25

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Solution

The fourth proportional to 392,388, 588,587.54 and 111,905.25 is: 167,859.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,388 : 588,587.54 = 111,905.25 : x
  2. Step 2: Convert to fraction form
    392,388/588,587.54 = 111,905.25/x
  3. Step 3: Cross multiply
    392,388x = 588,587.54 × 111,905.25
  4. Step 4: Simplify right side
    392,388x = 65,866,035,251.06
  5. Step 5: Solve for x
    x = 65,866,035,251.06/392,388
  6. Step 6: Final answer
    x = 167,859.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.