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Finding the Fourth Proportional to 501,606.54, 752,407.23 and 177,634.98

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Solution

The fourth proportional to 501,606.54, 752,407.23 and 177,634.98 is: 266,451.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,606.54 : 752,407.23 = 177,634.98 : x
  2. Step 2: Convert to fraction form
    501,606.54/752,407.23 = 177,634.98/x
  3. Step 3: Cross multiply
    501,606.54x = 752,407.23 × 177,634.98
  4. Step 4: Simplify right side
    501,606.54x = 133,653,843,252.91
  5. Step 5: Solve for x
    x = 133,653,843,252.91/501,606.54
  6. Step 6: Final answer
    x = 266,451.56

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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.