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Finding the Fourth Proportional to 298,551.51, 411,968.48 and 177,676.02

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Solution

The fourth proportional to 298,551.51, 411,968.48 and 177,676.02 is: 245,173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,551.51 : 411,968.48 = 177,676.02 : x
  2. Step 2: Convert to fraction form
    298,551.51/411,968.48 = 177,676.02/x
  3. Step 3: Cross multiply
    298,551.51x = 411,968.48 × 177,676.02
  4. Step 4: Simplify right side
    298,551.51x = 73,196,919,003.47
  5. Step 5: Solve for x
    x = 73,196,919,003.47/298,551.51
  6. Step 6: Final answer
    x = 245,173.50

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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.