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Finding the Fourth Proportional to 489,076.10, 733,614.15 and 471,361.40

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Solution

The fourth proportional to 489,076.10, 733,614.15 and 471,361.40 is: 707,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,076.10 : 733,614.15 = 471,361.40 : x
  2. Step 2: Convert to fraction form
    489,076.10/733,614.15 = 471,361.40/x
  3. Step 3: Cross multiply
    489,076.10x = 733,614.15 × 471,361.40
  4. Step 4: Simplify right side
    489,076.10x = 345,797,392,803.81
  5. Step 5: Solve for x
    x = 345,797,392,803.81/489,076.10
  6. Step 6: Final answer
    x = 707,042.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.