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Finding the Fourth Proportional to 298,032.82, 411,437.61 and 229,896.83

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Solution

The fourth proportional to 298,032.82, 411,437.61 and 229,896.83 is: 317,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,032.82 : 411,437.61 = 229,896.83 : x
  2. Step 2: Convert to fraction form
    298,032.82/411,437.61 = 229,896.83/x
  3. Step 3: Cross multiply
    298,032.82x = 411,437.61 × 229,896.83
  4. Step 4: Simplify right side
    298,032.82x = 94,588,203,310.37
  5. Step 5: Solve for x
    x = 94,588,203,310.37/298,032.82
  6. Step 6: Final answer
    x = 317,375.13

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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.