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Finding the Fourth Proportional to 298,106.02, 411,250.60 and 177,178.59

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Solution

The fourth proportional to 298,106.02, 411,250.60 and 177,178.59 is: 244,425.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,106.02 : 411,250.60 = 177,178.59 : x
  2. Step 2: Convert to fraction form
    298,106.02/411,250.60 = 177,178.59/x
  3. Step 3: Cross multiply
    298,106.02x = 411,250.60 × 177,178.59
  4. Step 4: Simplify right side
    298,106.02x = 72,864,799,388.40
  5. Step 5: Solve for x
    x = 72,864,799,388.40/298,106.02
  6. Step 6: Final answer
    x = 244,425.79

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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.