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Finding the Fourth Proportional to 413,711.91, 620,815.77 and 177,054.84

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Solution

The fourth proportional to 413,711.91, 620,815.77 and 177,054.84 is: 265,688.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,711.91 : 620,815.77 = 177,054.84 : x
  2. Step 2: Convert to fraction form
    413,711.91/620,815.77 = 177,054.84/x
  3. Step 3: Cross multiply
    413,711.91x = 620,815.77 × 177,054.84
  4. Step 4: Simplify right side
    413,711.91x = 109,918,436,826.83
  5. Step 5: Solve for x
    x = 109,918,436,826.83/413,711.91
  6. Step 6: Final answer
    x = 265,688.36

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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.