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Finding the Fourth Proportional to 392,106.89, 588,408.93 and 167,468.50

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Solution

The fourth proportional to 392,106.89, 588,408.93 and 167,468.50 is: 251,308.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,106.89 : 588,408.93 = 167,468.50 : x
  2. Step 2: Convert to fraction form
    392,106.89/588,408.93 = 167,468.50/x
  3. Step 3: Cross multiply
    392,106.89x = 588,408.93 × 167,468.50
  4. Step 4: Simplify right side
    392,106.89x = 98,539,961,272.77
  5. Step 5: Solve for x
    x = 98,539,961,272.77/392,106.89
  6. Step 6: Final answer
    x = 251,308.93

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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.