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Finding the Fourth Proportional to 646,346.08, 967,696.35 and 342,051

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Solution

The fourth proportional to 646,346.08, 967,696.35 and 342,051 is: 512,111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,346.08 : 967,696.35 = 342,051 : x
  2. Step 2: Convert to fraction form
    646,346.08/967,696.35 = 342,051/x
  3. Step 3: Cross multiply
    646,346.08x = 967,696.35 × 342,051
  4. Step 4: Simplify right side
    646,346.08x = 331,001,504,213.85
  5. Step 5: Solve for x
    x = 331,001,504,213.85/646,346.08
  6. Step 6: Final answer
    x = 512,111.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.