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Finding the Fourth Proportional to 477,770.14, 716,758.89 and 145,337.50

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Solution

The fourth proportional to 477,770.14, 716,758.89 and 145,337.50 is: 218,037.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,770.14 : 716,758.89 = 145,337.50 : x
  2. Step 2: Convert to fraction form
    477,770.14/716,758.89 = 145,337.50/x
  3. Step 3: Cross multiply
    477,770.14x = 716,758.89 × 145,337.50
  4. Step 4: Simplify right side
    477,770.14x = 104,171,945,175.38
  5. Step 5: Solve for x
    x = 104,171,945,175.38/477,770.14
  6. Step 6: Final answer
    x = 218,037.79

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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.