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Finding the Fourth Proportional to 308,451.64, 462,564.12 and 105,990.32

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Solution

The fourth proportional to 308,451.64, 462,564.12 and 105,990.32 is: 158,946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,451.64 : 462,564.12 = 105,990.32 : x
  2. Step 2: Convert to fraction form
    308,451.64/462,564.12 = 105,990.32/x
  3. Step 3: Cross multiply
    308,451.64x = 462,564.12 × 105,990.32
  4. Step 4: Simplify right side
    308,451.64x = 49,027,319,099.32
  5. Step 5: Solve for x
    x = 49,027,319,099.32/308,451.64
  6. Step 6: Final answer
    x = 158,946.53

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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.