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Finding the Fourth Proportional to 298,034.58, 411,298.54 and 170,734.78

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Solution

The fourth proportional to 298,034.58, 411,298.54 and 170,734.78 is: 235,620.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,034.58 : 411,298.54 = 170,734.78 : x
  2. Step 2: Convert to fraction form
    298,034.58/411,298.54 = 170,734.78/x
  3. Step 3: Cross multiply
    298,034.58x = 411,298.54 × 170,734.78
  4. Step 4: Simplify right side
    298,034.58x = 70,222,965,741.22
  5. Step 5: Solve for x
    x = 70,222,965,741.22/298,034.58
  6. Step 6: Final answer
    x = 235,620.19

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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.