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Finding the Fourth Proportional to 298,425.88, 411,763.86 and 177,543.54

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Solution

The fourth proportional to 298,425.88, 411,763.86 and 177,543.54 is: 244,972.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,425.88 : 411,763.86 = 177,543.54 : x
  2. Step 2: Convert to fraction form
    298,425.88/411,763.86 = 177,543.54/x
  3. Step 3: Cross multiply
    298,425.88x = 411,763.86 × 177,543.54
  4. Step 4: Simplify right side
    298,425.88x = 73,106,013,348.46
  5. Step 5: Solve for x
    x = 73,106,013,348.46/298,425.88
  6. Step 6: Final answer
    x = 244,972.10

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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.