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Finding the Fourth Proportional to 500,254.56, 690,287.13 and 285,382.08

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Solution

The fourth proportional to 500,254.56, 690,287.13 and 285,382.08 is: 393,790.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,254.56 : 690,287.13 = 285,382.08 : x
  2. Step 2: Convert to fraction form
    500,254.56/690,287.13 = 285,382.08/x
  3. Step 3: Cross multiply
    500,254.56x = 690,287.13 × 285,382.08
  4. Step 4: Simplify right side
    500,254.56x = 196,995,576,956.63
  5. Step 5: Solve for x
    x = 196,995,576,956.63/500,254.56
  6. Step 6: Final answer
    x = 393,790.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.