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Finding the Fourth Proportional to 298,425.38, 411,763.17 and 177,543.04

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Solution

The fourth proportional to 298,425.38, 411,763.17 and 177,543.04 is: 244,971.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,425.38 : 411,763.17 = 177,543.04 : x
  2. Step 2: Convert to fraction form
    298,425.38/411,763.17 = 177,543.04/x
  3. Step 3: Cross multiply
    298,425.38x = 411,763.17 × 177,543.04
  4. Step 4: Simplify right side
    298,425.38x = 73,105,683,932.43
  5. Step 5: Solve for x
    x = 73,105,683,932.43/298,425.38
  6. Step 6: Final answer
    x = 244,971.40

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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.