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Finding the Fourth Proportional to 461,238.49, 691,790.78 and 177,000.58

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Solution

The fourth proportional to 461,238.49, 691,790.78 and 177,000.58 is: 265,475.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,238.49 : 691,790.78 = 177,000.58 : x
  2. Step 2: Convert to fraction form
    461,238.49/691,790.78 = 177,000.58/x
  3. Step 3: Cross multiply
    461,238.49x = 691,790.78 × 177,000.58
  4. Step 4: Simplify right side
    461,238.49x = 122,447,364,954.70
  5. Step 5: Solve for x
    x = 122,447,364,954.70/461,238.49
  6. Step 6: Final answer
    x = 265,475.17

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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.