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Finding the Fourth Proportional to 541,076.49, 811,613.96 and 217,010.78

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Solution

The fourth proportional to 541,076.49, 811,613.96 and 217,010.78 is: 325,515.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,076.49 : 811,613.96 = 217,010.78 : x
  2. Step 2: Convert to fraction form
    541,076.49/811,613.96 = 217,010.78/x
  3. Step 3: Cross multiply
    541,076.49x = 811,613.96 × 217,010.78
  4. Step 4: Simplify right side
    541,076.49x = 176,128,977,232.71
  5. Step 5: Solve for x
    x = 176,128,977,232.71/541,076.49
  6. Step 6: Final answer
    x = 325,515.86

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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.