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Finding the Fourth Proportional to 294,924.32, 442,388.09 and 73,308.32

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Solution

The fourth proportional to 294,924.32, 442,388.09 and 73,308.32 is: 109,962.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,924.32 : 442,388.09 = 73,308.32 : x
  2. Step 2: Convert to fraction form
    294,924.32/442,388.09 = 73,308.32/x
  3. Step 3: Cross multiply
    294,924.32x = 442,388.09 × 73,308.32
  4. Step 4: Simplify right side
    294,924.32x = 32,430,725,453.97
  5. Step 5: Solve for x
    x = 32,430,725,453.97/294,924.32
  6. Step 6: Final answer
    x = 109,962.87

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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.