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Finding the Fourth Proportional to 588,304.40, 882,821.40 and 308,022.80

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Solution

The fourth proportional to 588,304.40, 882,821.40 and 308,022.80 is: 462,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,304.40 : 882,821.40 = 308,022.80 : x
  2. Step 2: Convert to fraction form
    588,304.40/882,821.40 = 308,022.80/x
  3. Step 3: Cross multiply
    588,304.40x = 882,821.40 × 308,022.80
  4. Step 4: Simplify right side
    588,304.40x = 271,929,119,527.92
  5. Step 5: Solve for x
    x = 271,929,119,527.92/588,304.40
  6. Step 6: Final answer
    x = 462,225.20

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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.