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Finding the Fourth Proportional to 613,977.10, 846,983.64 and 410,301.22

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Solution

The fourth proportional to 613,977.10, 846,983.64 and 410,301.22 is: 566,012.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,977.10 : 846,983.64 = 410,301.22 : x
  2. Step 2: Convert to fraction form
    613,977.10/846,983.64 = 410,301.22/x
  3. Step 3: Cross multiply
    613,977.10x = 846,983.64 × 410,301.22
  4. Step 4: Simplify right side
    613,977.10x = 347,518,420,812.04
  5. Step 5: Solve for x
    x = 347,518,420,812.04/613,977.10
  6. Step 6: Final answer
    x = 566,012.02

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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.