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Finding the Fourth Proportional to 517,912.43, 714,755.09 and 313,971.95

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Solution

The fourth proportional to 517,912.43, 714,755.09 and 313,971.95 is: 433,303.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,912.43 : 714,755.09 = 313,971.95 : x
  2. Step 2: Convert to fraction form
    517,912.43/714,755.09 = 313,971.95/x
  3. Step 3: Cross multiply
    517,912.43x = 714,755.09 × 313,971.95
  4. Step 4: Simplify right side
    517,912.43x = 224,413,044,236.09
  5. Step 5: Solve for x
    x = 224,413,044,236.09/517,912.43
  6. Step 6: Final answer
    x = 433,303.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.