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Finding the Fourth Proportional to 543,030.41, 814,651.76 and 163,982.00

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Solution

The fourth proportional to 543,030.41, 814,651.76 and 163,982.00 is: 246,005.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,030.41 : 814,651.76 = 163,982.00 : x
  2. Step 2: Convert to fraction form
    543,030.41/814,651.76 = 163,982.00/x
  3. Step 3: Cross multiply
    543,030.41x = 814,651.76 × 163,982.00
  4. Step 4: Simplify right side
    543,030.41x = 133,588,227,354.90
  5. Step 5: Solve for x
    x = 133,588,227,354.90/543,030.41
  6. Step 6: Final answer
    x = 246,005.06

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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.