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Finding the Fourth Proportional to 383,463.10, 574,538.55 and 243,057.70

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Solution

The fourth proportional to 383,463.10, 574,538.55 and 243,057.70 is: 364,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,463.10 : 574,538.55 = 243,057.70 : x
  2. Step 2: Convert to fraction form
    383,463.10/574,538.55 = 243,057.70/x
  3. Step 3: Cross multiply
    383,463.10x = 574,538.55 × 243,057.70
  4. Step 4: Simplify right side
    383,463.10x = 139,646,018,524.34
  5. Step 5: Solve for x
    x = 139,646,018,524.34/383,463.10
  6. Step 6: Final answer
    x = 364,170.68

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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.