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Finding the Fourth Proportional to 509,083.22, 702,493.86 and 294,237.20

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Solution

The fourth proportional to 509,083.22, 702,493.86 and 294,237.20 is: 406,023.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,083.22 : 702,493.86 = 294,237.20 : x
  2. Step 2: Convert to fraction form
    509,083.22/702,493.86 = 294,237.20/x
  3. Step 3: Cross multiply
    509,083.22x = 702,493.86 × 294,237.20
  4. Step 4: Simplify right side
    509,083.22x = 206,699,826,383.59
  5. Step 5: Solve for x
    x = 206,699,826,383.59/509,083.22
  6. Step 6: Final answer
    x = 406,023.65

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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.