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Finding the Fourth Proportional to 517,682.84, 714,395.49 and 299,921.21

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Solution

The fourth proportional to 517,682.84, 714,395.49 and 299,921.21 is: 413,887.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,682.84 : 714,395.49 = 299,921.21 : x
  2. Step 2: Convert to fraction form
    517,682.84/714,395.49 = 299,921.21/x
  3. Step 3: Cross multiply
    517,682.84x = 714,395.49 × 299,921.21
  4. Step 4: Simplify right side
    517,682.84x = 214,262,356,207.37
  5. Step 5: Solve for x
    x = 214,262,356,207.37/517,682.84
  6. Step 6: Final answer
    x = 413,887.31

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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.