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Finding the Fourth Proportional to 430,201.41, 645,586.38 and 202,562.14

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Solution

The fourth proportional to 430,201.41, 645,586.38 and 202,562.14 is: 303,977.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,201.41 : 645,586.38 = 202,562.14 : x
  2. Step 2: Convert to fraction form
    430,201.41/645,586.38 = 202,562.14/x
  3. Step 3: Cross multiply
    430,201.41x = 645,586.38 × 202,562.14
  4. Step 4: Simplify right side
    430,201.41x = 130,771,358,687.65
  5. Step 5: Solve for x
    x = 130,771,358,687.65/430,201.41
  6. Step 6: Final answer
    x = 303,977.06

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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.