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Finding the Fourth Proportional to 298,288.26, 411,637.68 and 164,152.26

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Solution

The fourth proportional to 298,288.26, 411,637.68 and 164,152.26 is: 226,530.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,288.26 : 411,637.68 = 164,152.26 : x
  2. Step 2: Convert to fraction form
    298,288.26/411,637.68 = 164,152.26/x
  3. Step 3: Cross multiply
    298,288.26x = 411,637.68 × 164,152.26
  4. Step 4: Simplify right side
    298,288.26x = 67,571,255,473.16
  5. Step 5: Solve for x
    x = 67,571,255,473.16/298,288.26
  6. Step 6: Final answer
    x = 226,530.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.