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Finding the Fourth Proportional to 385,076.68, 577,898.80 and 182,673.41

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Solution

The fourth proportional to 385,076.68, 577,898.80 and 182,673.41 is: 274,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,076.68 : 577,898.80 = 182,673.41 : x
  2. Step 2: Convert to fraction form
    385,076.68/577,898.80 = 182,673.41/x
  3. Step 3: Cross multiply
    385,076.68x = 577,898.80 × 182,673.41
  4. Step 4: Simplify right side
    385,076.68x = 105,566,741,084.73
  5. Step 5: Solve for x
    x = 105,566,741,084.73/385,076.68
  6. Step 6: Final answer
    x = 274,144.73

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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.