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Finding the Fourth Proportional to 294,819.60, 441,208.80 and 176,575.80

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Solution

The fourth proportional to 294,819.60, 441,208.80 and 176,575.80 is: 264,252.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,819.60 : 441,208.80 = 176,575.80 : x
  2. Step 2: Convert to fraction form
    294,819.60/441,208.80 = 176,575.80/x
  3. Step 3: Cross multiply
    294,819.60x = 441,208.80 × 176,575.80
  4. Step 4: Simplify right side
    294,819.60x = 77,906,796,827.04
  5. Step 5: Solve for x
    x = 77,906,796,827.04/294,819.60
  6. Step 6: Final answer
    x = 264,252.43

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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.