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Finding the Fourth Proportional to 335,043.52, 462,205.92 and 205,864.72

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Solution

The fourth proportional to 335,043.52, 462,205.92 and 205,864.72 is: 283,998.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,043.52 : 462,205.92 = 205,864.72 : x
  2. Step 2: Convert to fraction form
    335,043.52/462,205.92 = 205,864.72/x
  3. Step 3: Cross multiply
    335,043.52x = 462,205.92 × 205,864.72
  4. Step 4: Simplify right side
    335,043.52x = 95,151,892,303.14
  5. Step 5: Solve for x
    x = 95,151,892,303.14/335,043.52
  6. Step 6: Final answer
    x = 283,998.61

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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.