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Finding the Fourth Proportional to 517,682.09, 714,394.46 and 299,920.46

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Solution

The fourth proportional to 517,682.09, 714,394.46 and 299,920.46 is: 413,886.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,682.09 : 714,394.46 = 299,920.46 : x
  2. Step 2: Convert to fraction form
    517,682.09/714,394.46 = 299,920.46/x
  3. Step 3: Cross multiply
    517,682.09x = 714,394.46 × 299,920.46
  4. Step 4: Simplify right side
    517,682.09x = 214,261,512,242.48
  5. Step 5: Solve for x
    x = 214,261,512,242.48/517,682.09
  6. Step 6: Final answer
    x = 413,886.27

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