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Finding the Fourth Proportional to 323,009.60, 484,802.40 and 189,723.20

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Solution

The fourth proportional to 323,009.60, 484,802.40 and 189,723.20 is: 284,753.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,009.60 : 484,802.40 = 189,723.20 : x
  2. Step 2: Convert to fraction form
    323,009.60/484,802.40 = 189,723.20/x
  3. Step 3: Cross multiply
    323,009.60x = 484,802.40 × 189,723.20
  4. Step 4: Simplify right side
    323,009.60x = 91,978,262,695.68
  5. Step 5: Solve for x
    x = 91,978,262,695.68/323,009.60
  6. Step 6: Final answer
    x = 284,753.96

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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.