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Finding the Fourth Proportional to 551,728.96, 827,603.84 and 152,380.33

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Solution

The fourth proportional to 551,728.96, 827,603.84 and 152,380.33 is: 228,573.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,728.96 : 827,603.84 = 152,380.33 : x
  2. Step 2: Convert to fraction form
    551,728.96/827,603.84 = 152,380.33/x
  3. Step 3: Cross multiply
    551,728.96x = 827,603.84 × 152,380.33
  4. Step 4: Simplify right side
    551,728.96x = 126,110,544,560.41
  5. Step 5: Solve for x
    x = 126,110,544,560.41/551,728.96
  6. Step 6: Final answer
    x = 228,573.37

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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.