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Finding the Fourth Proportional to 613,712.93, 846,863.16 and 341,806.12

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Solution

The fourth proportional to 613,712.93, 846,863.16 and 341,806.12 is: 471,658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,712.93 : 846,863.16 = 341,806.12 : x
  2. Step 2: Convert to fraction form
    613,712.93/846,863.16 = 341,806.12/x
  3. Step 3: Cross multiply
    613,712.93x = 846,863.16 × 341,806.12
  4. Step 4: Simplify right side
    613,712.93x = 289,463,007,491.61
  5. Step 5: Solve for x
    x = 289,463,007,491.61/613,712.93
  6. Step 6: Final answer
    x = 471,658.65

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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.