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Finding the Fourth Proportional to 513,914.26, 709,193.10 and 284,466.63

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Solution

The fourth proportional to 513,914.26, 709,193.10 and 284,466.63 is: 392,559.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,914.26 : 709,193.10 = 284,466.63 : x
  2. Step 2: Convert to fraction form
    513,914.26/709,193.10 = 284,466.63/x
  3. Step 3: Cross multiply
    513,914.26x = 709,193.10 × 284,466.63
  4. Step 4: Simplify right side
    513,914.26x = 201,741,768,336.52
  5. Step 5: Solve for x
    x = 201,741,768,336.52/513,914.26
  6. Step 6: Final answer
    x = 392,559.19

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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.