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Finding the Fourth Proportional to 380,861.94, 571,373.01 and 144,199.38

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Solution

The fourth proportional to 380,861.94, 571,373.01 and 144,199.38 is: 216,329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,861.94 : 571,373.01 = 144,199.38 : x
  2. Step 2: Convert to fraction form
    380,861.94/571,373.01 = 144,199.38/x
  3. Step 3: Cross multiply
    380,861.94x = 571,373.01 × 144,199.38
  4. Step 4: Simplify right side
    380,861.94x = 82,391,633,790.73
  5. Step 5: Solve for x
    x = 82,391,633,790.73/380,861.94
  6. Step 6: Final answer
    x = 216,329.40

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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.