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Finding the Fourth Proportional to 307,291.65, 423,911.75 and 205,342.14

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Solution

The fourth proportional to 307,291.65, 423,911.75 and 205,342.14 is: 283,271.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,291.65 : 423,911.75 = 205,342.14 : x
  2. Step 2: Convert to fraction form
    307,291.65/423,911.75 = 205,342.14/x
  3. Step 3: Cross multiply
    307,291.65x = 423,911.75 × 205,342.14
  4. Step 4: Simplify right side
    307,291.65x = 87,046,944,889.43
  5. Step 5: Solve for x
    x = 87,046,944,889.43/307,291.65
  6. Step 6: Final answer
    x = 283,271.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.