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Finding the Fourth Proportional to 298,292.32, 411,550.59 and 169,209.46

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Solution

The fourth proportional to 298,292.32, 411,550.59 and 169,209.46 is: 233,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,292.32 : 411,550.59 = 169,209.46 : x
  2. Step 2: Convert to fraction form
    298,292.32/411,550.59 = 169,209.46/x
  3. Step 3: Cross multiply
    298,292.32x = 411,550.59 × 169,209.46
  4. Step 4: Simplify right side
    298,292.32x = 69,638,253,096.58
  5. Step 5: Solve for x
    x = 69,638,253,096.58/298,292.32
  6. Step 6: Final answer
    x = 233,456.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.