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Finding the Fourth Proportional to 543,803.10, 815,704.65 and 543,803.10

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Solution

The fourth proportional to 543,803.10, 815,704.65 and 543,803.10 is: 815,704.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,803.10 : 815,704.65 = 543,803.10 : x
  2. Step 2: Convert to fraction form
    543,803.10/815,704.65 = 543,803.10/x
  3. Step 3: Cross multiply
    543,803.10x = 815,704.65 × 543,803.10
  4. Step 4: Simplify right side
    543,803.10x = 443,582,717,354.42
  5. Step 5: Solve for x
    x = 443,582,717,354.42/543,803.10
  6. Step 6: Final answer
    x = 815,704.65

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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.