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Finding the Fourth Proportional to 298,108.02, 411,253.36 and 177,180.59

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Solution

The fourth proportional to 298,108.02, 411,253.36 and 177,180.59 is: 244,428.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,108.02 : 411,253.36 = 177,180.59 : x
  2. Step 2: Convert to fraction form
    298,108.02/411,253.36 = 177,180.59/x
  3. Step 3: Cross multiply
    298,108.02x = 411,253.36 × 177,180.59
  4. Step 4: Simplify right side
    298,108.02x = 72,866,112,964.28
  5. Step 5: Solve for x
    x = 72,866,112,964.28/298,108.02
  6. Step 6: Final answer
    x = 244,428.56

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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.