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Finding the Fourth Proportional to 477,760.14, 716,743.89 and 145,327.50

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Solution

The fourth proportional to 477,760.14, 716,743.89 and 145,327.50 is: 218,022.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,760.14 : 716,743.89 = 145,327.50 : x
  2. Step 2: Convert to fraction form
    477,760.14/716,743.89 = 145,327.50/x
  3. Step 3: Cross multiply
    477,760.14x = 716,743.89 × 145,327.50
  4. Step 4: Simplify right side
    477,760.14x = 104,162,597,673.98
  5. Step 5: Solve for x
    x = 104,162,597,673.98/477,760.14
  6. Step 6: Final answer
    x = 218,022.79

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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.