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Finding the Fourth Proportional to 298,388.72, 411,637.36 and 177,462.16

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Solution

The fourth proportional to 298,388.72, 411,637.36 and 177,462.16 is: 244,815.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,388.72 : 411,637.36 = 177,462.16 : x
  2. Step 2: Convert to fraction form
    298,388.72/411,637.36 = 177,462.16/x
  3. Step 3: Cross multiply
    298,388.72x = 411,637.36 × 177,462.16
  4. Step 4: Simplify right side
    298,388.72x = 73,050,055,042.30
  5. Step 5: Solve for x
    x = 73,050,055,042.30/298,388.72
  6. Step 6: Final answer
    x = 244,815.07

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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.