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Finding the Fourth Proportional to 513,941.14, 709,230.19 and 284,493.57

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Solution

The fourth proportional to 513,941.14, 709,230.19 and 284,493.57 is: 392,596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,941.14 : 709,230.19 = 284,493.57 : x
  2. Step 2: Convert to fraction form
    513,941.14/709,230.19 = 284,493.57/x
  3. Step 3: Cross multiply
    513,941.14x = 709,230.19 × 284,493.57
  4. Step 4: Simplify right side
    513,941.14x = 201,771,427,993.64
  5. Step 5: Solve for x
    x = 201,771,427,993.64/513,941.14
  6. Step 6: Final answer
    x = 392,596.38

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Why These Related Problems?

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