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Finding the Fourth Proportional to 298,200.48, 411,526.08 and 170,916

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Solution

The fourth proportional to 298,200.48, 411,526.08 and 170,916 is: 235,869.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,200.48 : 411,526.08 = 170,916 : x
  2. Step 2: Convert to fraction form
    298,200.48/411,526.08 = 170,916/x
  3. Step 3: Cross multiply
    298,200.48x = 411,526.08 × 170,916
  4. Step 4: Simplify right side
    298,200.48x = 70,336,391,489.28
  5. Step 5: Solve for x
    x = 70,336,391,489.28/298,200.48
  6. Step 6: Final answer
    x = 235,869.48

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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.