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Finding the Fourth Proportional to 274,825.60, 411,460.80 and 243,721.60

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Solution

The fourth proportional to 274,825.60, 411,460.80 and 243,721.60 is: 364,892.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,825.60 : 411,460.80 = 243,721.60 : x
  2. Step 2: Convert to fraction form
    274,825.60/411,460.80 = 243,721.60/x
  3. Step 3: Cross multiply
    274,825.60x = 411,460.80 × 243,721.60
  4. Step 4: Simplify right side
    274,825.60x = 100,281,884,513.28
  5. Step 5: Solve for x
    x = 100,281,884,513.28/274,825.60
  6. Step 6: Final answer
    x = 364,892.81

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Why These Related Problems?

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