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Finding the Fourth Proportional to 311,476, 467,272.32 and 145,264

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Solution

The fourth proportional to 311,476, 467,272.32 and 145,264 is: 217,923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,476 : 467,272.32 = 145,264 : x
  2. Step 2: Convert to fraction form
    311,476/467,272.32 = 145,264/x
  3. Step 3: Cross multiply
    311,476x = 467,272.32 × 145,264
  4. Step 4: Simplify right side
    311,476x = 67,877,846,292.48
  5. Step 5: Solve for x
    x = 67,877,846,292.48/311,476
  6. Step 6: Final answer
    x = 217,923.20

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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.