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Finding the Fourth Proportional to 543,011.10, 814,189.41 and 243,437.50

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Solution

The fourth proportional to 543,011.10, 814,189.41 and 243,437.50 is: 365,009.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,011.10 : 814,189.41 = 243,437.50 : x
  2. Step 2: Convert to fraction form
    543,011.10/814,189.41 = 243,437.50/x
  3. Step 3: Cross multiply
    543,011.10x = 814,189.41 × 243,437.50
  4. Step 4: Simplify right side
    543,011.10x = 198,204,234,496.88
  5. Step 5: Solve for x
    x = 198,204,234,496.88/543,011.10
  6. Step 6: Final answer
    x = 365,009.54

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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.