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Finding the Fourth Proportional to 446,542.50, 616,238.37 and 245,338.50

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Solution

The fourth proportional to 446,542.50, 616,238.37 and 245,338.50 is: 338,572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,542.50 : 616,238.37 = 245,338.50 : x
  2. Step 2: Convert to fraction form
    446,542.50/616,238.37 = 245,338.50/x
  3. Step 3: Cross multiply
    446,542.50x = 616,238.37 × 245,338.50
  4. Step 4: Simplify right side
    446,542.50x = 151,186,997,338.25
  5. Step 5: Solve for x
    x = 151,186,997,338.25/446,542.50
  6. Step 6: Final answer
    x = 338,572.47

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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.