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Finding the Fourth Proportional to 294,449.28, 406,462.08 and 222,849.28

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Solution

The fourth proportional to 294,449.28, 406,462.08 and 222,849.28 is: 307,624.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,449.28 : 406,462.08 = 222,849.28 : x
  2. Step 2: Convert to fraction form
    294,449.28/406,462.08 = 222,849.28/x
  3. Step 3: Cross multiply
    294,449.28x = 406,462.08 × 222,849.28
  4. Step 4: Simplify right side
    294,449.28x = 90,579,781,875.30
  5. Step 5: Solve for x
    x = 90,579,781,875.30/294,449.28
  6. Step 6: Final answer
    x = 307,624.40

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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.