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Finding the Fourth Proportional to 613,348.95, 846,446.42 and 341,399.60

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Solution

The fourth proportional to 613,348.95, 846,446.42 and 341,399.60 is: 471,145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,348.95 : 846,446.42 = 341,399.60 : x
  2. Step 2: Convert to fraction form
    613,348.95/846,446.42 = 341,399.60/x
  3. Step 3: Cross multiply
    613,348.95x = 846,446.42 × 341,399.60
  4. Step 4: Simplify right side
    613,348.95x = 288,976,463,270.20
  5. Step 5: Solve for x
    x = 288,976,463,270.20/613,348.95
  6. Step 6: Final answer
    x = 471,145.28

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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.