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Finding the Fourth Proportional to 298,034.08, 411,297.85 and 170,734.28

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Solution

The fourth proportional to 298,034.08, 411,297.85 and 170,734.28 is: 235,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,034.08 : 411,297.85 = 170,734.28 : x
  2. Step 2: Convert to fraction form
    298,034.08/411,297.85 = 170,734.28/x
  3. Step 3: Cross multiply
    298,034.08x = 411,297.85 × 170,734.28
  4. Step 4: Simplify right side
    298,034.08x = 70,222,641,344.34
  5. Step 5: Solve for x
    x = 70,222,641,344.34/298,034.08
  6. Step 6: Final answer
    x = 235,619.50

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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.