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Finding the Fourth Proportional to 413,952.54, 620,409.40 and 177,016.62

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Solution

The fourth proportional to 413,952.54, 620,409.40 and 177,016.62 is: 265,302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,952.54 : 620,409.40 = 177,016.62 : x
  2. Step 2: Convert to fraction form
    413,952.54/620,409.40 = 177,016.62/x
  3. Step 3: Cross multiply
    413,952.54x = 620,409.40 × 177,016.62
  4. Step 4: Simplify right side
    413,952.54x = 109,822,775,004.23
  5. Step 5: Solve for x
    x = 109,822,775,004.23/413,952.54
  6. Step 6: Final answer
    x = 265,302.82

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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.