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Finding the Fourth Proportional to 294,493.34, 441,781.78 and 94,767.32

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Solution

The fourth proportional to 294,493.34, 441,781.78 and 94,767.32 is: 142,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,493.34 : 441,781.78 = 94,767.32 : x
  2. Step 2: Convert to fraction form
    294,493.34/441,781.78 = 94,767.32/x
  3. Step 3: Cross multiply
    294,493.34x = 441,781.78 × 94,767.32
  4. Step 4: Simplify right side
    294,493.34x = 41,866,475,315.43
  5. Step 5: Solve for x
    x = 41,866,475,315.43/294,493.34
  6. Step 6: Final answer
    x = 142,164.42

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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.