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Finding the Fourth Proportional to 543,005, 814,624.48 and 163,894

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Solution

The fourth proportional to 543,005, 814,624.48 and 163,894 is: 245,876.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,005 : 814,624.48 = 163,894 : x
  2. Step 2: Convert to fraction form
    543,005/814,624.48 = 163,894/x
  3. Step 3: Cross multiply
    543,005x = 814,624.48 × 163,894
  4. Step 4: Simplify right side
    543,005x = 133,512,064,525.12
  5. Step 5: Solve for x
    x = 133,512,064,525.12/543,005
  6. Step 6: Final answer
    x = 245,876.31

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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.