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Finding the Fourth Proportional to 438,431.40, 657,452.70 and 201,652.20

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Solution

The fourth proportional to 438,431.40, 657,452.70 and 201,652.20 is: 302,388.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,431.40 : 657,452.70 = 201,652.20 : x
  2. Step 2: Convert to fraction form
    438,431.40/657,452.70 = 201,652.20/x
  3. Step 3: Cross multiply
    438,431.40x = 657,452.70 × 201,652.20
  4. Step 4: Simplify right side
    438,431.40x = 132,576,783,350.94
  5. Step 5: Solve for x
    x = 132,576,783,350.94/438,431.40
  6. Step 6: Final answer
    x = 302,388.89

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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.