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Finding the Fourth Proportional to 308,573.32, 462,914.88 and 109,009.48

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Solution

The fourth proportional to 308,573.32, 462,914.88 and 109,009.48 is: 163,533.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,573.32 : 462,914.88 = 109,009.48 : x
  2. Step 2: Convert to fraction form
    308,573.32/462,914.88 = 109,009.48/x
  3. Step 3: Cross multiply
    308,573.32x = 462,914.88 × 109,009.48
  4. Step 4: Simplify right side
    308,573.32x = 50,462,110,353.06
  5. Step 5: Solve for x
    x = 50,462,110,353.06/308,573.32
  6. Step 6: Final answer
    x = 163,533.61

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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.