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Finding the Fourth Proportional to 588,996.82, 883,540 and 229,013.02

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Solution

The fourth proportional to 588,996.82, 883,540 and 229,013.02 is: 343,536.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,996.82 : 883,540 = 229,013.02 : x
  2. Step 2: Convert to fraction form
    588,996.82/883,540 = 229,013.02/x
  3. Step 3: Cross multiply
    588,996.82x = 883,540 × 229,013.02
  4. Step 4: Simplify right side
    588,996.82x = 202,342,163,690.80
  5. Step 5: Solve for x
    x = 202,342,163,690.80/588,996.82
  6. Step 6: Final answer
    x = 343,536.94

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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.