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Finding the Fourth Proportional to 504,688.32, 757,234.44 and 205,191.90

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Solution

The fourth proportional to 504,688.32, 757,234.44 and 205,191.90 is: 307,869.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,688.32 : 757,234.44 = 205,191.90 : x
  2. Step 2: Convert to fraction form
    504,688.32/757,234.44 = 205,191.90/x
  3. Step 3: Cross multiply
    504,688.32x = 757,234.44 × 205,191.90
  4. Step 4: Simplify right side
    504,688.32x = 155,378,373,489.04
  5. Step 5: Solve for x
    x = 155,378,373,489.04/504,688.32
  6. Step 6: Final answer
    x = 307,869.96

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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.