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Finding the Fourth Proportional to 298,109.16, 411,285.60 and 169,028.37

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Solution

The fourth proportional to 298,109.16, 411,285.60 and 169,028.37 is: 233,199.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,109.16 : 411,285.60 = 169,028.37 : x
  2. Step 2: Convert to fraction form
    298,109.16/411,285.60 = 169,028.37/x
  3. Step 3: Cross multiply
    298,109.16x = 411,285.60 × 169,028.37
  4. Step 4: Simplify right side
    298,109.16x = 69,518,934,572.47
  5. Step 5: Solve for x
    x = 69,518,934,572.47/298,109.16
  6. Step 6: Final answer
    x = 233,199.59

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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.