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Finding the Fourth Proportional to 298,032.22, 411,342.87 and 170,793.10

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Solution

The fourth proportional to 298,032.22, 411,342.87 and 170,793.10 is: 235,727.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,032.22 : 411,342.87 = 170,793.10 : x
  2. Step 2: Convert to fraction form
    298,032.22/411,342.87 = 170,793.10/x
  3. Step 3: Cross multiply
    298,032.22x = 411,342.87 × 170,793.10
  4. Step 4: Simplify right side
    298,032.22x = 70,254,523,930.20
  5. Step 5: Solve for x
    x = 70,254,523,930.20/298,032.22
  6. Step 6: Final answer
    x = 235,727.95

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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.