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Finding the Fourth Proportional to 613,232.10, 846,288.16 and 341,317.38

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Solution

The fourth proportional to 613,232.10, 846,288.16 and 341,317.38 is: 471,033.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,232.10 : 846,288.16 = 341,317.38 : x
  2. Step 2: Convert to fraction form
    613,232.10/846,288.16 = 341,317.38/x
  3. Step 3: Cross multiply
    613,232.10x = 846,288.16 × 341,317.38
  4. Step 4: Simplify right side
    613,232.10x = 288,852,857,496.22
  5. Step 5: Solve for x
    x = 288,852,857,496.22/613,232.10
  6. Step 6: Final answer
    x = 471,033.49

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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.