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Finding the Fourth Proportional to 264,347.52, 396,148.32 and 204,904.32

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Solution

The fourth proportional to 264,347.52, 396,148.32 and 204,904.32 is: 307,067.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,347.52 : 396,148.32 = 204,904.32 : x
  2. Step 2: Convert to fraction form
    264,347.52/396,148.32 = 204,904.32/x
  3. Step 3: Cross multiply
    264,347.52x = 396,148.32 × 204,904.32
  4. Step 4: Simplify right side
    264,347.52x = 81,172,502,128.74
  5. Step 5: Solve for x
    x = 81,172,502,128.74/264,347.52
  6. Step 6: Final answer
    x = 307,067.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.