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Finding the Fourth Proportional to 513,519.41, 708,709.77 and 295,735.23

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Solution

The fourth proportional to 513,519.41, 708,709.77 and 295,735.23 is: 408,145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,519.41 : 708,709.77 = 295,735.23 : x
  2. Step 2: Convert to fraction form
    513,519.41/708,709.77 = 295,735.23/x
  3. Step 3: Cross multiply
    513,519.41x = 708,709.77 × 295,735.23
  4. Step 4: Simplify right side
    513,519.41x = 209,590,446,834.20
  5. Step 5: Solve for x
    x = 209,590,446,834.20/513,519.41
  6. Step 6: Final answer
    x = 408,145.13

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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.