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Finding the Fourth Proportional to 521,663.43, 782,607.41 and 161,827.11

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Solution

The fourth proportional to 521,663.43, 782,607.41 and 161,827.11 is: 242,775.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,663.43 : 782,607.41 = 161,827.11 : x
  2. Step 2: Convert to fraction form
    521,663.43/782,607.41 = 161,827.11/x
  3. Step 3: Cross multiply
    521,663.43x = 782,607.41 × 161,827.11
  4. Step 4: Simplify right side
    521,663.43x = 126,647,094,615.75
  5. Step 5: Solve for x
    x = 126,647,094,615.75/521,663.43
  6. Step 6: Final answer
    x = 242,775.49

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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.