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Finding the Fourth Proportional to 543,913.10, 815,869.65 and 543,913.10

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Solution

The fourth proportional to 543,913.10, 815,869.65 and 543,913.10 is: 815,869.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,913.10 : 815,869.65 = 543,913.10 : x
  2. Step 2: Convert to fraction form
    543,913.10/815,869.65 = 543,913.10/x
  3. Step 3: Cross multiply
    543,913.10x = 815,869.65 × 543,913.10
  4. Step 4: Simplify right side
    543,913.10x = 443,762,190,527.42
  5. Step 5: Solve for x
    x = 443,762,190,527.42/543,913.10
  6. Step 6: Final answer
    x = 815,869.65

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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.