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Finding the Fourth Proportional to 204,424.56, 306,602.28 and 56,646

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Solution

The fourth proportional to 204,424.56, 306,602.28 and 56,646 is: 84,959.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,424.56 : 306,602.28 = 56,646 : x
  2. Step 2: Convert to fraction form
    204,424.56/306,602.28 = 56,646/x
  3. Step 3: Cross multiply
    204,424.56x = 306,602.28 × 56,646
  4. Step 4: Simplify right side
    204,424.56x = 17,367,792,752.88
  5. Step 5: Solve for x
    x = 17,367,792,752.88/204,424.56
  6. Step 6: Final answer
    x = 84,959.42

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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.