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Finding the Fourth Proportional to 294,100.80, 440,276.40 and 175,711.20

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Solution

The fourth proportional to 294,100.80, 440,276.40 and 175,711.20 is: 263,044.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,100.80 : 440,276.40 = 175,711.20 : x
  2. Step 2: Convert to fraction form
    294,100.80/440,276.40 = 175,711.20/x
  3. Step 3: Cross multiply
    294,100.80x = 440,276.40 × 175,711.20
  4. Step 4: Simplify right side
    294,100.80x = 77,361,494,575.68
  5. Step 5: Solve for x
    x = 77,361,494,575.68/294,100.80
  6. Step 6: Final answer
    x = 263,044.15

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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.