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Finding the Fourth Proportional to 513,137.57, 708,242.27 and 298,401.53

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Solution

The fourth proportional to 513,137.57, 708,242.27 and 298,401.53 is: 411,859.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,137.57 : 708,242.27 = 298,401.53 : x
  2. Step 2: Convert to fraction form
    513,137.57/708,242.27 = 298,401.53/x
  3. Step 3: Cross multiply
    513,137.57x = 708,242.27 × 298,401.53
  4. Step 4: Simplify right side
    513,137.57x = 211,340,571,945.45
  5. Step 5: Solve for x
    x = 211,340,571,945.45/513,137.57
  6. Step 6: Final answer
    x = 411,859.48

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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.