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Finding the Fourth Proportional to 519,082.94, 716,351.64 and 301,275.28

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Solution

The fourth proportional to 519,082.94, 716,351.64 and 301,275.28 is: 415,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,082.94 : 716,351.64 = 301,275.28 : x
  2. Step 2: Convert to fraction form
    519,082.94/716,351.64 = 301,275.28/x
  3. Step 3: Cross multiply
    519,082.94x = 716,351.64 × 301,275.28
  4. Step 4: Simplify right side
    519,082.94x = 215,819,040,685.12
  5. Step 5: Solve for x
    x = 215,819,040,685.12/519,082.94
  6. Step 6: Final answer
    x = 415,769.86

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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.