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Finding the Fourth Proportional to 311,272.40, 466,908.60 and 284,700.35

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Solution

The fourth proportional to 311,272.40, 466,908.60 and 284,700.35 is: 427,050.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,272.40 : 466,908.60 = 284,700.35 : x
  2. Step 2: Convert to fraction form
    311,272.40/466,908.60 = 284,700.35/x
  3. Step 3: Cross multiply
    311,272.40x = 466,908.60 × 284,700.35
  4. Step 4: Simplify right side
    311,272.40x = 132,929,041,838.01
  5. Step 5: Solve for x
    x = 132,929,041,838.01/311,272.40
  6. Step 6: Final answer
    x = 427,050.53

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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.