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Finding the Fourth Proportional to 504,225, 756,337.50 and 188,830.44

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Solution

The fourth proportional to 504,225, 756,337.50 and 188,830.44 is: 283,245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,225 : 756,337.50 = 188,830.44 : x
  2. Step 2: Convert to fraction form
    504,225/756,337.50 = 188,830.44/x
  3. Step 3: Cross multiply
    504,225x = 756,337.50 × 188,830.44
  4. Step 4: Simplify right side
    504,225x = 142,819,542,913.50
  5. Step 5: Solve for x
    x = 142,819,542,913.50/504,225
  6. Step 6: Final answer
    x = 283,245.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.