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Finding the Fourth Proportional to 519,506.98, 716,912.61 and 290,067.82

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Solution

The fourth proportional to 519,506.98, 716,912.61 and 290,067.82 is: 400,289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,506.98 : 716,912.61 = 290,067.82 : x
  2. Step 2: Convert to fraction form
    519,506.98/716,912.61 = 290,067.82/x
  3. Step 3: Cross multiply
    519,506.98x = 716,912.61 × 290,067.82
  4. Step 4: Simplify right side
    519,506.98x = 207,953,277,913.21
  5. Step 5: Solve for x
    x = 207,953,277,913.21/519,506.98
  6. Step 6: Final answer
    x = 400,289.67

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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.