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Finding the Fourth Proportional to 497,568.67, 686,102.13 and 336,143.43

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Solution

The fourth proportional to 497,568.67, 686,102.13 and 336,143.43 is: 463,511.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,568.67 : 686,102.13 = 336,143.43 : x
  2. Step 2: Convert to fraction form
    497,568.67/686,102.13 = 336,143.43/x
  3. Step 3: Cross multiply
    497,568.67x = 686,102.13 × 336,143.43
  4. Step 4: Simplify right side
    497,568.67x = 230,628,723,308.51
  5. Step 5: Solve for x
    x = 230,628,723,308.51/497,568.67
  6. Step 6: Final answer
    x = 463,511.34

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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.