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Finding the Fourth Proportional to 543,846.30, 815,769.45 and 463,364.70

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Solution

The fourth proportional to 543,846.30, 815,769.45 and 463,364.70 is: 695,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,846.30 : 815,769.45 = 463,364.70 : x
  2. Step 2: Convert to fraction form
    543,846.30/815,769.45 = 463,364.70/x
  3. Step 3: Cross multiply
    543,846.30x = 815,769.45 × 463,364.70
  4. Step 4: Simplify right side
    543,846.30x = 377,998,766,468.42
  5. Step 5: Solve for x
    x = 377,998,766,468.42/543,846.30
  6. Step 6: Final answer
    x = 695,047.05

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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.