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Finding the Fourth Proportional to 414,675.46, 621,898.14 and 177,965.50

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Solution

The fourth proportional to 414,675.46, 621,898.14 and 177,965.50 is: 266,898.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,675.46 : 621,898.14 = 177,965.50 : x
  2. Step 2: Convert to fraction form
    414,675.46/621,898.14 = 177,965.50/x
  3. Step 3: Cross multiply
    414,675.46x = 621,898.14 × 177,965.50
  4. Step 4: Simplify right side
    414,675.46x = 110,676,413,434.17
  5. Step 5: Solve for x
    x = 110,676,413,434.17/414,675.46
  6. Step 6: Final answer
    x = 266,898.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.