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Finding the Fourth Proportional to 298,089.36, 411,365.04 and 162,124.56

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Solution

The fourth proportional to 298,089.36, 411,365.04 and 162,124.56 is: 223,732.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,089.36 : 411,365.04 = 162,124.56 : x
  2. Step 2: Convert to fraction form
    298,089.36/411,365.04 = 162,124.56/x
  3. Step 3: Cross multiply
    298,089.36x = 411,365.04 × 162,124.56
  4. Step 4: Simplify right side
    298,089.36x = 66,692,376,109.38
  5. Step 5: Solve for x
    x = 66,692,376,109.38/298,089.36
  6. Step 6: Final answer
    x = 223,732.83

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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.