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Finding the Fourth Proportional to 613,696.34, 846,894.12 and 341,758.28

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Solution

The fourth proportional to 613,696.34, 846,894.12 and 341,758.28 is: 471,622.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,696.34 : 846,894.12 = 341,758.28 : x
  2. Step 2: Convert to fraction form
    613,696.34/846,894.12 = 341,758.28/x
  3. Step 3: Cross multiply
    613,696.34x = 846,894.12 × 341,758.28
  4. Step 4: Simplify right side
    613,696.34x = 289,433,077,793.31
  5. Step 5: Solve for x
    x = 289,433,077,793.31/613,696.34
  6. Step 6: Final answer
    x = 471,622.62

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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.