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Finding the Fourth Proportional to 382,558.95, 573,838.89 and 142,669.20

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Solution

The fourth proportional to 382,558.95, 573,838.89 and 142,669.20 is: 214,003.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,558.95 : 573,838.89 = 142,669.20 : x
  2. Step 2: Convert to fraction form
    382,558.95/573,838.89 = 142,669.20/x
  3. Step 3: Cross multiply
    382,558.95x = 573,838.89 × 142,669.20
  4. Step 4: Simplify right side
    382,558.95x = 81,869,135,365.19
  5. Step 5: Solve for x
    x = 81,869,135,365.19/382,558.95
  6. Step 6: Final answer
    x = 214,003.97

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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.