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Finding the Fourth Proportional to 519,431.70, 716,816.85 and 293,077.38

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Solution

The fourth proportional to 519,431.70, 716,816.85 and 293,077.38 is: 404,447.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,431.70 : 716,816.85 = 293,077.38 : x
  2. Step 2: Convert to fraction form
    519,431.70/716,816.85 = 293,077.38/x
  3. Step 3: Cross multiply
    519,431.70x = 716,816.85 × 293,077.38
  4. Step 4: Simplify right side
    519,431.70x = 210,082,804,337.85
  5. Step 5: Solve for x
    x = 210,082,804,337.85/519,431.70
  6. Step 6: Final answer
    x = 404,447.41

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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.