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Finding the Fourth Proportional to 304,623.54, 420,424.74 and 175,536.88

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Solution

The fourth proportional to 304,623.54, 420,424.74 and 175,536.88 is: 242,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,623.54 : 420,424.74 = 175,536.88 : x
  2. Step 2: Convert to fraction form
    304,623.54/420,424.74 = 175,536.88/x
  3. Step 3: Cross multiply
    304,623.54x = 420,424.74 × 175,536.88
  4. Step 4: Simplify right side
    304,623.54x = 73,800,046,083.35
  5. Step 5: Solve for x
    x = 73,800,046,083.35/304,623.54
  6. Step 6: Final answer
    x = 242,266.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.