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Finding the Fourth Proportional to 311,032.40, 466,548.60 and 133,509.20

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Solution

The fourth proportional to 311,032.40, 466,548.60 and 133,509.20 is: 200,263.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,032.40 : 466,548.60 = 133,509.20 : x
  2. Step 2: Convert to fraction form
    311,032.40/466,548.60 = 133,509.20/x
  3. Step 3: Cross multiply
    311,032.40x = 466,548.60 × 133,509.20
  4. Step 4: Simplify right side
    311,032.40x = 62,288,530,347.12
  5. Step 5: Solve for x
    x = 62,288,530,347.12/311,032.40
  6. Step 6: Final answer
    x = 200,263.80

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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.