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Finding the Fourth Proportional to 298,291.48, 411,652.02 and 170,991.16

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Solution

The fourth proportional to 298,291.48, 411,652.02 and 170,991.16 is: 235,973.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,291.48 : 411,652.02 = 170,991.16 : x
  2. Step 2: Convert to fraction form
    298,291.48/411,652.02 = 170,991.16/x
  3. Step 3: Cross multiply
    298,291.48x = 411,652.02 × 170,991.16
  4. Step 4: Simplify right side
    298,291.48x = 70,388,856,416.14
  5. Step 5: Solve for x
    x = 70,388,856,416.14/298,291.48
  6. Step 6: Final answer
    x = 235,973.41

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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.