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Finding the Fourth Proportional to 298,355.42, 411,732.19 and 162,389.04

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Solution

The fourth proportional to 298,355.42, 411,732.19 and 162,389.04 is: 224,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,355.42 : 411,732.19 = 162,389.04 : x
  2. Step 2: Convert to fraction form
    298,355.42/411,732.19 = 162,389.04/x
  3. Step 3: Cross multiply
    298,355.42x = 411,732.19 × 162,389.04
  4. Step 4: Simplify right side
    298,355.42x = 66,860,793,229.92
  5. Step 5: Solve for x
    x = 66,860,793,229.92/298,355.42
  6. Step 6: Final answer
    x = 224,097.80

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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.