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Finding the Fourth Proportional to 270,393.60, 404,812.80 and 165,417.60

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Solution

The fourth proportional to 270,393.60, 404,812.80 and 165,417.60 is: 247,650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,393.60 : 404,812.80 = 165,417.60 : x
  2. Step 2: Convert to fraction form
    270,393.60/404,812.80 = 165,417.60/x
  3. Step 3: Cross multiply
    270,393.60x = 404,812.80 × 165,417.60
  4. Step 4: Simplify right side
    270,393.60x = 66,963,161,825.28
  5. Step 5: Solve for x
    x = 66,963,161,825.28/270,393.60
  6. Step 6: Final answer
    x = 247,650.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.