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Finding the Fourth Proportional to 335,204, 462,590.28 and 182,252.48

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Solution

The fourth proportional to 335,204, 462,590.28 and 182,252.48 is: 251,513.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,204 : 462,590.28 = 182,252.48 : x
  2. Step 2: Convert to fraction form
    335,204/462,590.28 = 182,252.48/x
  3. Step 3: Cross multiply
    335,204x = 462,590.28 × 182,252.48
  4. Step 4: Simplify right side
    335,204x = 84,308,225,753.89
  5. Step 5: Solve for x
    x = 84,308,225,753.89/335,204
  6. Step 6: Final answer
    x = 251,513.19

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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.