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Finding the Fourth Proportional to 298,506.96, 411,929.97 and 162,539.80

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Solution

The fourth proportional to 298,506.96, 411,929.97 and 162,539.80 is: 224,299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,506.96 : 411,929.97 = 162,539.80 : x
  2. Step 2: Convert to fraction form
    298,506.96/411,929.97 = 162,539.80/x
  3. Step 3: Cross multiply
    298,506.96x = 411,929.97 × 162,539.80
  4. Step 4: Simplify right side
    298,506.96x = 66,955,014,937.81
  5. Step 5: Solve for x
    x = 66,955,014,937.81/298,506.96
  6. Step 6: Final answer
    x = 224,299.68

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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.