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Finding the Fourth Proportional to 519,441.40, 778,967.70 and 182,351.80

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Solution

The fourth proportional to 519,441.40, 778,967.70 and 182,351.80 is: 273,459.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,441.40 : 778,967.70 = 182,351.80 : x
  2. Step 2: Convert to fraction form
    519,441.40/778,967.70 = 182,351.80/x
  3. Step 3: Cross multiply
    519,441.40x = 778,967.70 × 182,351.80
  4. Step 4: Simplify right side
    519,441.40x = 142,046,162,236.86
  5. Step 5: Solve for x
    x = 142,046,162,236.86/519,441.40
  6. Step 6: Final answer
    x = 273,459.46

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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.