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Finding the Fourth Proportional to 510,609.60, 704,622.24 and 284,250.24

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Solution

The fourth proportional to 510,609.60, 704,622.24 and 284,250.24 is: 392,254.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,609.60 : 704,622.24 = 284,250.24 : x
  2. Step 2: Convert to fraction form
    510,609.60/704,622.24 = 284,250.24/x
  3. Step 3: Cross multiply
    510,609.60x = 704,622.24 × 284,250.24
  4. Step 4: Simplify right side
    510,609.60x = 200,289,040,829.34
  5. Step 5: Solve for x
    x = 200,289,040,829.34/510,609.60
  6. Step 6: Final answer
    x = 392,254.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.