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Finding the Fourth Proportional to 496,511.99, 685,237.02 and 292,628.60

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Solution

The fourth proportional to 496,511.99, 685,237.02 and 292,628.60 is: 403,857.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,511.99 : 685,237.02 = 292,628.60 : x
  2. Step 2: Convert to fraction form
    496,511.99/685,237.02 = 292,628.60/x
  3. Step 3: Cross multiply
    496,511.99x = 685,237.02 × 292,628.60
  4. Step 4: Simplify right side
    496,511.99x = 200,519,949,830.77
  5. Step 5: Solve for x
    x = 200,519,949,830.77/496,511.99
  6. Step 6: Final answer
    x = 403,857.22

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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.